Alternating Series | Leibniz Test | Convergence Of Infinite Series

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  • เผยแพร่เมื่อ 25 ธ.ค. 2024

ความคิดเห็น • 238

  • @gajendrapurohit
    @gajendrapurohit  5 ปีที่แล้ว +25

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    • @Sundaight
      @Sundaight 4 ปีที่แล้ว +1

      Sir, is factorial of infinity is infinity or not.. Plse tell

    • @10_yogeshchandrapandey90
      @10_yogeshchandrapandey90 4 ปีที่แล้ว +1

      @@Sundaight it will be infinite.

    • @LAFAZ
      @LAFAZ 4 ปีที่แล้ว +1

      sir , In Last Ques.
      Answer Is not match with Ques.

    • @aryakrishnab8361
      @aryakrishnab8361 4 ปีที่แล้ว +1

      Sir,plz explain how can we find which test is applicable to a particular question

    • @progamersiddharthcodm3741
      @progamersiddharthcodm3741 ปีที่แล้ว

      @@aryakrishnab8361 it will be written on the ques

  • @mahabratasengupta3775
    @mahabratasengupta3775 3 ปีที่แล้ว +37

    Video starts at 2:07
    Thank you👍🏽👍🏽

  • @chandanmohanty5438
    @chandanmohanty5438 3 ปีที่แล้ว +4

    Sir aap ka mathematics padhane ka tarika next level ka heee sir...

  • @urmilabanerjee2804
    @urmilabanerjee2804 2 ปีที่แล้ว +6

    Thank you sir for such fabulous lectures; you are the sole reason why i do well in my semester exams in college and also learn the concepts thouroughly

  • @AshishKumar-fk1xy
    @AshishKumar-fk1xy 3 ปีที่แล้ว +1

    Aapake samjhane ka najariya kafi accha hai sir ji

  • @hrishankverma
    @hrishankverma 5 ปีที่แล้ว +35

    Sir you teach very direct try to solve questions fully ! ❤

  • @abhinandanjain2399
    @abhinandanjain2399 ปีที่แล้ว +2

    Crystal clear explanation.

  • @shilpakaushik6121
    @shilpakaushik6121 2 ปีที่แล้ว +10

    You're amazing Sir.... You make such a difficult topic so easy thank you sir

    • @cbjuztmoments1011
      @cbjuztmoments1011 2 ปีที่แล้ว

      easy to hai yr but aap kis college ke ho?? aapke syllabus me kya kya hai

  • @kriianshh5322
    @kriianshh5322 11 หลายเดือนก่อน +5

    Aaree "Punit superstar" sir👽🙏

  • @icp509raahitya8
    @icp509raahitya8 2 ปีที่แล้ว +5

    sir your explation is next level my brain is showing errors

  • @soumyachandrakar9100
    @soumyachandrakar9100 5 ปีที่แล้ว +11

    Great lecture sir!

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +5

      Thanks for
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    • @infinitymusic4617
      @infinitymusic4617 3 ปีที่แล้ว

      @@gajendrapurohit 🤯

  • @SouravGhosh-ko9wx
    @SouravGhosh-ko9wx 5 ปีที่แล้ว +9

    sir you help me so much

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +3

      Hello Sourav Ghosh
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  • @muskanshivvanshi
    @muskanshivvanshi 4 หลายเดือนก่อน +1

    Very thankful to you sir👏👏

  • @abhinandanjain2399
    @abhinandanjain2399 ปีที่แล้ว +2

    Thank you so much sir wonderful lectures.

  • @pradeepprajapati123pp7
    @pradeepprajapati123pp7 5 ปีที่แล้ว +1

    Aap ko bahut bahut dhanybad guru jii

  • @dharmikmistry8781
    @dharmikmistry8781 2 ปีที่แล้ว +35

    One doubt sir. While putting x=+1 in equation for limit n=0 to infinity. By putting n=0 , first term will be infinite instead of 1 i think. Thank you

    • @ritvikreddy3959
      @ritvikreddy3959 ปีที่แล้ว +3

      yeah i think sir made a mistake there the limits should be 1 to infinty not 0 to infinity

    • @amritraj7309
      @amritraj7309 ปีที่แล้ว

      Exactly

    • @tarunkumargupta6178
      @tarunkumargupta6178 ปีที่แล้ว +2

      Neglecting 1st term & taking n= natural number

    • @anikm111
      @anikm111 5 หลายเดือนก่อน

      Don't say doubt , say question

    • @neelghate3489
      @neelghate3489 4 หลายเดือนก่อน +1

      so are we not considering the 1st term for summation?

  • @k-anand
    @k-anand 4 ปีที่แล้ว +4

    Sir aapke question utne acche se nhi karate h... Pr lockdown hone k karan mujhe aapka video dekhna pad rha h... Q ki mera coaching band h.. Or wo bahut acche se btate h...... But fir v kuch na kuch to sikh he rha hu aapke video se.. So thanku

  • @Asime126
    @Asime126 5 ปีที่แล้ว +1

    Sir your way of teaching is nice...

  • @YugGaming51
    @YugGaming51 2 ปีที่แล้ว +2

    Best lectures 🙏🏻

  • @sharfeenzaman1996
    @sharfeenzaman1996 5 ปีที่แล้ว +5

    thanks Sir for this video

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
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      With Your Friends
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      Important Questions Board Exam 2019
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      (Hindi)
      Linear Algebra (Part -I) For IIT-JAM/CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/CMLGX9SL
      (Hindi)
      Ordinary Differential Equation (First order and First Degree) with MCQs
      unacademy.com/lesson/course-overview-in-hindi/WPZE5C5B
      (Hindi) Calculus-
      Functions of One Variable: CSIR NET (Mathematics)
      unacademy.com/lesson/limit-part-ii-function-of-one-variable-in-hindi/PXJOQQO8
      (Hindi) Function Of Two
      Real Variables: CSIR UGC NET(Mathematics)
      unacademy.com/lesson/course-overview-in-hindi/VGIXIZXB
      (Hindi) Vector Calculus -
      CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/C1DLI4UX
      (Hindi) Part 1: Integral
      Calculus for CSIR NET
      unacademy.com/lesson/basics-of-indefinite-integral-part-i-in-hindi/VY6XFY57
      Please share it
      with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @pankajjangir9591
    @pankajjangir9591 5 ปีที่แล้ว +1

    Great sir ji

  • @34ashutoshnegi83
    @34ashutoshnegi83 5 ปีที่แล้ว +7

    Kindly upload more videos on real analysis 🙏🙏
    Exams are coming in December 🙏🙏🙏

  • @saurabmalla3075
    @saurabmalla3075 4 หลายเดือนก่อน +1

    In last example,
    x=1 and x=-1.
    The first term of expanded series when n=0 is undefined as n is on denominator .
    So the series starts with
    -1 + (1/2) - (1/3) +...

  • @HEDH378
    @HEDH378 5 ปีที่แล้ว

    I love you Sir your video very helpful Of my study

  • @dilipkumarbehera-ew9yb
    @dilipkumarbehera-ew9yb 4 ปีที่แล้ว +1

    Thanks sir ❤️❤️❤️❤️🙏🙏🙏🙏🙏

  • @ThakursBoy
    @ThakursBoy 2 ปีที่แล้ว +1

    Adbhoot 🙏

  • @AbhiKumar-fp9jy
    @AbhiKumar-fp9jy 3 ปีที่แล้ว +1

    Alot of thanks sir
    Because my exam is coming but I have no idea in real analysis
    But your videos are very helpful in my study

  • @anaraxic10
    @anaraxic10 5 ปีที่แล้ว +3

    Time saver ❤️

  • @govindarawat4456
    @govindarawat4456 5 ปีที่แล้ว +3

    Thanks sir ji

  • @ashfaqkakar2463
    @ashfaqkakar2463 5 ปีที่แล้ว +1

    Great job sir

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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      Please share it with your Friends
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      Dr.Gajendra Purohit

  • @kumar-cs2hy
    @kumar-cs2hy 5 ปีที่แล้ว +26

    Sir , n - belongs to Natural number hh , then how can we take n=0.????

    • @SharukKhan-hh8ur
      @SharukKhan-hh8ur 3 ปีที่แล้ว +3

      Same mera bhi yhi question h

    • @ancyantony7031
      @ancyantony7031 2 ปีที่แล้ว

      Sir
      Most of the series have n = 0. Pls check power series..

    • @sagnikbhaumik7115
      @sagnikbhaumik7115 2 ปีที่แล้ว

      n=0 rakhenge to denominator mein 0 ajayga

  • @susmitasen4851
    @susmitasen4851 5 ปีที่แล้ว +3

    Thank you sir

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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      Topic:- Matrics and Linear Algebra
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      Topic:-Fourier Series
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      Topic:- Higher Order Differential Equation
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      Topic:- Partial Differential Equation
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  • @frazerfernandes4708
    @frazerfernandes4708 3 ปีที่แล้ว

    Superb Sir, Fantastic Explanation

  • @Atul_dwivedi_
    @Atul_dwivedi_ 2 ปีที่แล้ว +1

    Bounded sequence ,, bounded above and below sequence ke questions ki video bna dijiye.🙏🙏🙏

  • @chandrabhangautam1999
    @chandrabhangautam1999 5 ปีที่แล้ว +2

    great sir

  • @shankarpati3447
    @shankarpati3447 5 ปีที่แล้ว

    Quietly satisfied by this lecture

  • @beastmatlbih8314
    @beastmatlbih8314 2 ปีที่แล้ว +1

    Sir ☺️ aapsee samaj k smj aaya h 🤗 college m to lecture attend hi nhi krta Etna bor lgta h 🤣🤣

  • @tinadutta30
    @tinadutta30 3 ปีที่แล้ว

    For this one I am following A.R Vasishtha and Dr. R.K Gupta's Algebra book

  • @Pankajthakur74411
    @Pankajthakur74411 4 ปีที่แล้ว +1

    Fall in Love with your vedio sir 🥰

  • @Priyasingh-xv2sq
    @Priyasingh-xv2sq ปีที่แล้ว

    Thank uhh so much sar

  • @abhiraj2184
    @abhiraj2184 3 ปีที่แล้ว

    Thank you very much sir

  • @rajnichopra9211
    @rajnichopra9211 5 ปีที่แล้ว +4

    Sir, plz please pour some light on these topics 1.cauchy condensation test and 2. Kummer 's test .

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +2

      Hello Rajni Chopra
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  • @sakshisoni8800
    @sakshisoni8800 5 ปีที่แล้ว +10

    Sir please aap alag se playlist banaiye n 2nd year ki

  • @laxmansingh9449
    @laxmansingh9449 ปีที่แล้ว

    Thnku sir ji

  • @sairaghava
    @sairaghava 4 ปีที่แล้ว +2

    thank you so much sir, these videos helped me a lot

  • @10_yogeshchandrapandey90
    @10_yogeshchandrapandey90 5 ปีที่แล้ว +16

    Sir, don't you think so that in the video of Leibnitz test,for question 3, if x=1 then the first term of series will be -1 but you start the series with +1.
    And also for x=-(1), Un = -1^(1+n) / n , and in that manner the series will become as 1 + (-1/2) + 1/3 + (-1/4) ......... And hence series will be convergent for x= -1.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +3

      Hello Yogesh Pandey
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    • @shalinisengar3364
      @shalinisengar3364 5 ปีที่แล้ว

      Exactly

    • @geethaaliyangal5147
      @geethaaliyangal5147 4 ปีที่แล้ว

      it doesnt matter as we are comparing numerical values of n and (n+) th term.

    • @geethaaliyangal5147
      @geethaaliyangal5147 4 ปีที่แล้ว +2

      but how can we apply ratio test for an alternating series. ratio test is for series of positive terms right?

    • @10_yogeshchandrapandey90
      @10_yogeshchandrapandey90 4 ปีที่แล้ว +4

      @@geethaaliyangal5147 I think it matters a lot, as for x= -1, the series must be convergent, but it seems divergent to me in video. And I hope you will consider this, that we are not considering |x|, instead we are considering x. So make sure to consider the sign of x too.

  • @161_sourajitmukherjee7
    @161_sourajitmukherjee7 3 ปีที่แล้ว +3

    Sir un in the first question will be (-1)^n-1/(n-1)!

  • @manojnagavarmachekuri3994
    @manojnagavarmachekuri3994 3 ปีที่แล้ว +1

    Sir , at 11:39 you applied p series test for x = -1 . Why can't we apply limit n tends to infinity Un for x = -1?

  • @shreyasparab618
    @shreyasparab618 4 ปีที่แล้ว +1

    Sir can you make a video on tricks for fast solving.

  • @brainbuildingacademy9874
    @brainbuildingacademy9874 5 ปีที่แล้ว +4

    5:40 nth term would be 1/(n-1)!

  • @ayanchhatui2691
    @ayanchhatui2691 2 ปีที่แล้ว

    Plzz make a vedio on " Cauchy condensation test" Sir

  • @chaudharyprabhat9622
    @chaudharyprabhat9622 4 ปีที่แล้ว +1

    sir aap real analysis ke jo seres se related video hai uss par short trick banaiyeee na jo hum iit jam ,net koi bhi exam m jald se jald solve kar sake

  • @SohelRanaAnsari
    @SohelRanaAnsari 4 ปีที่แล้ว

    THANKS YOU SIR

  • @bluestep06
    @bluestep06 ปีที่แล้ว +1

    In third question limit should be from 1 to infinite instead of zero and -1 power should be n-1 instead of n

  • @user-sj1nx6pl1v
    @user-sj1nx6pl1v 3 ปีที่แล้ว +3

    Sir
    For x =+1 in the 1st term if we put n=0 then how it will be 1 since (-1)^n x^n/ n . Please reply , the whole term is divided by n ,It means something divided by 0

  • @rupendergahlyan2174
    @rupendergahlyan2174 5 ปีที่แล้ว +2

    Hello sir ur videos amazing sir mere ko improper interal for bsc ka video nii mil rha

  • @gouravdutta9464
    @gouravdutta9464 2 ปีที่แล้ว

    Thx Sir:)

  • @chaudharyprabhat9622
    @chaudharyprabhat9622 5 ปีที่แล้ว +1

    sir plzzz make video on maths tifr nd important books to crack it plzzzz sir

  • @shivalithareja9332
    @shivalithareja9332 4 ปีที่แล้ว +1

    Sir plz make more videos on arbitrary series(sequence and series book)m having exam with in 3 weeks plz sir it's a request 😣😥

  • @tanvibahri3470
    @tanvibahri3470 4 ปีที่แล้ว +1

    Sir please add the concept of sequence and reimman integration

  • @sarthaksinghal9269
    @sarthaksinghal9269 5 ปีที่แล้ว +1

    Thax u sir

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
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      Topic:- Laplace Transform
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      Topic:-Asymptote
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Fourier Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Tracing
      th-cam.com/video/CioY8ElsjO4/w-d-xo.html
      Topic:-Tracing Of Polar Curves
      th-cam.com/video/zLQE8tO5G90/w-d-xo.html
      Topic:-Surface area and Volume of Revolution of curve
      th-cam.com/video/q8SWoyDoNAg/w-d-xo.html
      Topic:-Complex Analysis
      th-cam.com/video/t9xW7UaZwZ0/w-d-xo.html
      Topic:-Partial Differentiation
      th-cam.com/video/bTs7ncA_AtY/w-d-xo.html
      Topic:-Maxima and Minima of Two Variable
      th-cam.com/video/NpR91wexqHA/w-d-xo.html
      Topic:-Numerical Analysis
      th-cam.com/video/rWyTk9eubKM/w-d-xo.html
      Topic:-Differential Calculus
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Integral Calculus
      th-cam.com/video/db7d_a0wiUg/w-d-xo.html
      Topic:-Integral Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Fitting
      th-cam.com/video/Qy1YAKZDA7k/w-d-xo.html
      Topic:-Radius of Curvature
      th-cam.com/video/qW9slRb9Fic/w-d-xo.html
      Topic:-Jacobian
      th-cam.com/video/YXmeH1yevkk/w-d-xo.html
      Topic:-Envelop & Evolutes
      th-cam.com/video/H9xxLXYSrCw/w-d-xo.html
      Topic: Infinite Series
      th-cam.com/video/2SJ7vcJpTd8/w-d-xo.html
      Topic:-IIT-JAM Mathematics
      th-cam.com/video/eTp5wq-cSXY/w-d-xo.html
      Topic:-GATE (Engineering Mathematics)
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Preparing For CSIR-NET (Mathematics). Follow Me On Unacademy
      unacademy.com/user/Dr-GajendraPurohit
      (Hindi) Linear Programming
      Problem for CSIR-UGC NET
      unacademy.com/lesson/lpp-introduction-and-concepts-of-linear-inequation-with-graph-in-hindi/0QVGBOHO
      (Hindi)
      Foundation Course of Probability and Statistics for CSIR NET
      unacademy.com/lesson/definition-and-concepts-of-various-terms-of-probability-with-example-in-hindi/F2UUQ6XO
      (Hindi) Partial
      Differential Equation (CSIR NET/GATE)
      unacademy.com/lesson/ili-standard-form-fpxgqy-application-of-charpits-method-in-hindi/VHT4KL3W
      (Hindi)
      Linear Integral Equation: CSIR NET
      unacademy.com/lesson/solution-of-fredholm-integral-equation-of-ii-kind-by-resolvent-kernel-in-hindi/5RSPH6QK
      (Hindi) CSIR UGC NET
      Previous Year Papers with Solutions |Topic:- Integral Equation
      unacademy.com/lesson/solution-of-csir-net-paper-june-2018-integral-equation-in-hindi/LWOW8F6G
      (Hindi) Linear Algebra
      (Part-II)- CSIR (Mathematics)
      unacademy.com/lesson/types-of-matrices-in-hindi/KH3LQPGB
      (Hindi)
      Linear Algebra (Part -I) For IIT-JAM/CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/CMLGX9SL
      (Hindi)
      Ordinary Differential Equation (First order and First Degree) with MCQs
      unacademy.com/lesson/course-overview-in-hindi/WPZE5C5B
      (Hindi) Calculus-
      Functions of One Variable: CSIR NET (Mathematics)
      unacademy.com/lesson/limit-part-ii-function-of-one-variable-in-hindi/PXJOQQO8
      (Hindi) Function Of Two
      Real Variables: CSIR UGC NET(Mathematics)
      unacademy.com/lesson/course-overview-in-hindi/VGIXIZXB
      (Hindi) Vector Calculus -
      CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/C1DLI4UX
      (Hindi) Part 1: Integral
      Calculus for CSIR NET
      unacademy.com/lesson/basics-of-indefinite-integral-part-i-in-hindi/VY6XFY57
      Please share it
      with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @sahinasultana1876
    @sahinasultana1876 4 ปีที่แล้ว

    Nice 😘

  • @mathwithmannu
    @mathwithmannu 8 หลายเดือนก่อน

    Sir can you solve this question plz. ..
    (-1)^n 1/n(1+1/2+1/3+-----------+1/n) test the convergence by using liebnitz test

  • @abhisheksinghbhau5797
    @abhisheksinghbhau5797 ปีที่แล้ว +2

    Good evening sir. There is an error in the last question you solved,i.e, while taking value of x equal to 1, how will we get the first term of the series equal to 1.Rather it will tend to infinity.

    • @rishavkumar6678
      @rishavkumar6678 ปีที่แล้ว

      bhai sir neai power series kraye hai kyA...........??

  • @busasoujanya4939
    @busasoujanya4939 3 ปีที่แล้ว

    Helpful video sir .thank u so much sir now I got clear idea on this concept thank u so much .But sir how can we identify the given question is solved by specific method sir

  • @irfanaashiq7831
    @irfanaashiq7831 5 ปีที่แล้ว +4

    Sir,group theory ke videos banaye .

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      will do please wait
      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
      t.me/gajendrapurohit
      Follow me on
      Unacademy for More Videos on IIT JAM|GATE|CSIR NET
      unacademy.com/user/Dr-GajendraPurohit
      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
      th-cam.com/video/hp-VtmQXc0U/w-d-xo.html
      Topic:-
      Class 12 Maths NCERT - Crash Course |
      Revision Class | Board Exam 2019
      th-cam.com/video/6njCv-Lqhx0/w-d-xo.html
      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First
      Degree
      th-cam.com/video/McOc6OUC7Pc/w-d-xo.html
      Topic:- Higher Order Differential Equation
      th-cam.com/video/tHqx1qxA8q4/w-d-xo.html
      Topic:- Second Order Differential equation of Variable
      Coefficient
      th-cam.com/video/1HKn9IvYiEM/w-d-xo.html
      Topic:- Partial Differential Equation
      th-cam.com/video/vZEN4NXhmag/w-d-xo.html
      Topic:- Vector Calculus
      th-cam.com/video/FfJtVvQtqTM/w-d-xo.html
      Topic:- Laplace Transform
      th-cam.com/video/EDVJotmT584/w-d-xo.html
      Topic:-Asymptote
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Fourier Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Tracing
      th-cam.com/video/CioY8ElsjO4/w-d-xo.html
      Topic:-Tracing Of Polar Curves
      th-cam.com/video/zLQE8tO5G90/w-d-xo.html
      Topic:-Surface area and Volume of Revolution of curve
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      Topic:-Complex Analysis
      th-cam.com/video/t9xW7UaZwZ0/w-d-xo.html
      Topic:-Partial Differentiation
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      Topic:-Maxima and Minima of Two Variable
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      Topic:-Numerical Analysis
      th-cam.com/video/rWyTk9eubKM/w-d-xo.html
      Topic:-Differential Calculus
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Integral Calculus
      th-cam.com/video/db7d_a0wiUg/w-d-xo.html
      Topic:-Integral Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Fitting
      th-cam.com/video/Qy1YAKZDA7k/w-d-xo.html
      Topic:-Radius of Curvature
      th-cam.com/video/qW9slRb9Fic/w-d-xo.html
      Topic:-Jacobian
      th-cam.com/video/YXmeH1yevkk/w-d-xo.html
      Topic:-Envelop & Evolutes
      th-cam.com/video/H9xxLXYSrCw/w-d-xo.html
      Topic: Infinite Series
      th-cam.com/video/2SJ7vcJpTd8/w-d-xo.html
      Topic:-IIT-JAM Mathematics
      th-cam.com/video/eTp5wq-cSXY/w-d-xo.html
      Topic:-GATE (Engineering Mathematics)
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Preparing For CSIR-NET (Mathematics). Follow Me On Unacademy
      unacademy.com/user/Dr-GajendraPurohit
      (Hindi) Linear Programming
      Problem for CSIR-UGC NET
      unacademy.com/lesson/lpp-introduction-and-concepts-of-linear-inequation-with-graph-in-hindi/0QVGBOHO
      (Hindi)
      Foundation Course of Probability and Statistics for CSIR NET
      unacademy.com/lesson/definition-and-concepts-of-various-terms-of-probability-with-example-in-hindi/F2UUQ6XO
      (Hindi) Partial
      Differential Equation (CSIR NET/GATE)
      unacademy.com/lesson/ili-standard-form-fpxgqy-application-of-charpits-method-in-hindi/VHT4KL3W
      (Hindi)
      Linear Integral Equation: CSIR NET
      unacademy.com/lesson/solution-of-fredholm-integral-equation-of-ii-kind-by-resolvent-kernel-in-hindi/5RSPH6QK
      (Hindi) CSIR UGC NET
      Previous Year Papers with Solutions |Topic:- Integral Equation
      unacademy.com/lesson/solution-of-csir-net-paper-june-2018-integral-equation-in-hindi/LWOW8F6G
      (Hindi) Linear Algebra
      (Part-II)- CSIR (Mathematics)
      unacademy.com/lesson/types-of-matrices-in-hindi/KH3LQPGB
      (Hindi)
      Linear Algebra (Part -I) For IIT-JAM/CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/CMLGX9SL
      (Hindi)
      Ordinary Differential Equation (First order and First Degree) with MCQs
      unacademy.com/lesson/course-overview-in-hindi/WPZE5C5B
      (Hindi) Calculus-
      Functions of One Variable: CSIR NET (Mathematics)
      unacademy.com/lesson/limit-part-ii-function-of-one-variable-in-hindi/PXJOQQO8
      (Hindi) Function Of Two
      Real Variables: CSIR UGC NET(Mathematics)
      unacademy.com/lesson/course-overview-in-hindi/VGIXIZXB
      (Hindi) Vector Calculus -
      CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/C1DLI4UX
      (Hindi) Part 1: Integral
      Calculus for CSIR NET
      unacademy.com/lesson/basics-of-indefinite-integral-part-i-in-hindi/VY6XFY57
      Please share it
      with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @prathamshah6287
    @prathamshah6287 ปีที่แล้ว

    Sir please make for first year students

  • @monikayadav3711
    @monikayadav3711 3 ปีที่แล้ว +1

    Sir can you please tell that we can use only lebinitz test for alrernating series? Or all previous test for infinite series are also applicable?

  • @chandrabhangautam1999
    @chandrabhangautam1999 5 ปีที่แล้ว +2

    sir app teaching achhi kerte hai per app theory bhi bata dijiye

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
      t.me/gajendrapurohit
      Follow me on
      Unacademy for More Videos on IIT JAM|GATE|CSIR NET
      unacademy.com/user/Dr-GajendraPurohit
      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
      th-cam.com/video/hp-VtmQXc0U/w-d-xo.html
      Topic:-
      Class 12 Maths NCERT - Crash Course |
      Revision Class | Board Exam 2019
      th-cam.com/video/6njCv-Lqhx0/w-d-xo.html
      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First
      Degree
      th-cam.com/video/McOc6OUC7Pc/w-d-xo.html
      Topic:- Higher Order Differential Equation
      th-cam.com/video/tHqx1qxA8q4/w-d-xo.html
      Topic:- Second Order Differential equation of Variable
      Coefficient
      th-cam.com/video/1HKn9IvYiEM/w-d-xo.html
      Topic:- Partial Differential Equation
      th-cam.com/video/vZEN4NXhmag/w-d-xo.html
      Topic:- Vector Calculus
      th-cam.com/video/FfJtVvQtqTM/w-d-xo.html
      Topic:- Laplace Transform
      th-cam.com/video/EDVJotmT584/w-d-xo.html
      Topic:-Asymptote
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Fourier Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Tracing
      th-cam.com/video/CioY8ElsjO4/w-d-xo.html
      Topic:-Tracing Of Polar Curves
      th-cam.com/video/zLQE8tO5G90/w-d-xo.html
      Topic:-Surface area and Volume of Revolution of curve
      th-cam.com/video/q8SWoyDoNAg/w-d-xo.html
      Topic:-Complex Analysis
      th-cam.com/video/t9xW7UaZwZ0/w-d-xo.html
      Topic:-Partial Differentiation
      th-cam.com/video/bTs7ncA_AtY/w-d-xo.html
      Topic:-Maxima and Minima of Two Variable
      th-cam.com/video/NpR91wexqHA/w-d-xo.html
      Topic:-Numerical Analysis
      th-cam.com/video/rWyTk9eubKM/w-d-xo.html
      Topic:-Differential Calculus
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Integral Calculus
      th-cam.com/video/db7d_a0wiUg/w-d-xo.html
      Topic:-Integral Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Fitting
      th-cam.com/video/Qy1YAKZDA7k/w-d-xo.html
      Topic:-Radius of Curvature
      th-cam.com/video/qW9slRb9Fic/w-d-xo.html
      Topic:-Jacobian
      th-cam.com/video/YXmeH1yevkk/w-d-xo.html
      Topic:-Envelop & Evolutes
      th-cam.com/video/H9xxLXYSrCw/w-d-xo.html
      Topic: Infinite Series
      th-cam.com/video/2SJ7vcJpTd8/w-d-xo.html
      Topic:-IIT-JAM Mathematics
      th-cam.com/video/eTp5wq-cSXY/w-d-xo.html
      Topic:-GATE (Engineering Mathematics)
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Preparing For CSIR-NET (Mathematics). Follow Me On Unacademy
      unacademy.com/user/Dr-GajendraPurohit
      (Hindi) Linear Programming
      Problem for CSIR-UGC NET
      unacademy.com/lesson/lpp-introduction-and-concepts-of-linear-inequation-with-graph-in-hindi/0QVGBOHO
      (Hindi)
      Foundation Course of Probability and Statistics for CSIR NET
      unacademy.com/lesson/definition-and-concepts-of-various-terms-of-probability-with-example-in-hindi/F2UUQ6XO
      (Hindi) Partial
      Differential Equation (CSIR NET/GATE)
      unacademy.com/lesson/ili-standard-form-fpxgqy-application-of-charpits-method-in-hindi/VHT4KL3W
      (Hindi)
      Linear Integral Equation: CSIR NET
      unacademy.com/lesson/solution-of-fredholm-integral-equation-of-ii-kind-by-resolvent-kernel-in-hindi/5RSPH6QK
      (Hindi) CSIR UGC NET
      Previous Year Papers with Solutions |Topic:- Integral Equation
      unacademy.com/lesson/solution-of-csir-net-paper-june-2018-integral-equation-in-hindi/LWOW8F6G
      (Hindi) Linear Algebra
      (Part-II)- CSIR (Mathematics)
      unacademy.com/lesson/types-of-matrices-in-hindi/KH3LQPGB
      (Hindi)
      Linear Algebra (Part -I) For IIT-JAM/CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/CMLGX9SL
      (Hindi)
      Ordinary Differential Equation (First order and First Degree) with MCQs
      unacademy.com/lesson/course-overview-in-hindi/WPZE5C5B
      (Hindi) Calculus-
      Functions of One Variable: CSIR NET (Mathematics)
      unacademy.com/lesson/limit-part-ii-function-of-one-variable-in-hindi/PXJOQQO8
      (Hindi) Function Of Two
      Real Variables: CSIR UGC NET(Mathematics)
      unacademy.com/lesson/course-overview-in-hindi/VGIXIZXB
      (Hindi) Vector Calculus -
      CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/C1DLI4UX
      (Hindi) Part 1: Integral
      Calculus for CSIR NET
      unacademy.com/lesson/basics-of-indefinite-integral-part-i-in-hindi/VY6XFY57
      Please share it
      with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @somgupta9588
    @somgupta9588 2 ปีที่แล้ว

    7:31 sir denominator me whole under root nhi hai islye 0 nhi hogi 1/1 hoga aur 1 milega divergent

  • @sushant4970
    @sushant4970 5 ปีที่แล้ว +1

    Amazing exp.

  • @daya_Saagar8887
    @daya_Saagar8887 5 ปีที่แล้ว +4

    Sir group theory bsc maths ki videos upload kar dijiye please

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      will do please wait ..
      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
      t.me/gajendrapurohit
      Follow me on
      Unacademy for More Videos on IIT JAM|GATE|CSIR NET
      unacademy.com/user/Dr-GajendraPurohit
      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
      th-cam.com/video/hp-VtmQXc0U/w-d-xo.html
      Topic:-
      Class 12 Maths NCERT - Crash Course |
      Revision Class | Board Exam 2019
      th-cam.com/video/6njCv-Lqhx0/w-d-xo.html
      Topic:- Matrics and Linear Algebra
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Topic:-Fourier Series
      th-cam.com/video/NdouX5-KD6Y/w-d-xo.html
      Topic:-Differential Equation of First Order and First
      Degree
      th-cam.com/video/McOc6OUC7Pc/w-d-xo.html
      Topic:- Higher Order Differential Equation
      th-cam.com/video/tHqx1qxA8q4/w-d-xo.html
      Topic:- Second Order Differential equation of Variable
      Coefficient
      th-cam.com/video/1HKn9IvYiEM/w-d-xo.html
      Topic:- Partial Differential Equation
      th-cam.com/video/vZEN4NXhmag/w-d-xo.html
      Topic:- Vector Calculus
      th-cam.com/video/FfJtVvQtqTM/w-d-xo.html
      Topic:- Laplace Transform
      th-cam.com/video/EDVJotmT584/w-d-xo.html
      Topic:-Asymptote
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Fourier Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Tracing
      th-cam.com/video/CioY8ElsjO4/w-d-xo.html
      Topic:-Tracing Of Polar Curves
      th-cam.com/video/zLQE8tO5G90/w-d-xo.html
      Topic:-Surface area and Volume of Revolution of curve
      th-cam.com/video/q8SWoyDoNAg/w-d-xo.html
      Topic:-Complex Analysis
      th-cam.com/video/t9xW7UaZwZ0/w-d-xo.html
      Topic:-Partial Differentiation
      th-cam.com/video/bTs7ncA_AtY/w-d-xo.html
      Topic:-Maxima and Minima of Two Variable
      th-cam.com/video/NpR91wexqHA/w-d-xo.html
      Topic:-Numerical Analysis
      th-cam.com/video/rWyTk9eubKM/w-d-xo.html
      Topic:-Differential Calculus
      th-cam.com/video/WX6O9TiFYsA/w-d-xo.html
      Topic:-Integral Calculus
      th-cam.com/video/db7d_a0wiUg/w-d-xo.html
      Topic:-Integral Transform
      th-cam.com/video/GtXmS5YH7XM/w-d-xo.html
      Topic:-Curve Fitting
      th-cam.com/video/Qy1YAKZDA7k/w-d-xo.html
      Topic:-Radius of Curvature
      th-cam.com/video/qW9slRb9Fic/w-d-xo.html
      Topic:-Jacobian
      th-cam.com/video/YXmeH1yevkk/w-d-xo.html
      Topic:-Envelop & Evolutes
      th-cam.com/video/H9xxLXYSrCw/w-d-xo.html
      Topic: Infinite Series
      th-cam.com/video/2SJ7vcJpTd8/w-d-xo.html
      Topic:-IIT-JAM Mathematics
      th-cam.com/video/eTp5wq-cSXY/w-d-xo.html
      Topic:-GATE (Engineering Mathematics)
      th-cam.com/video/p5rBJj5CKCg/w-d-xo.html
      Preparing For CSIR-NET (Mathematics). Follow Me On Unacademy
      unacademy.com/user/Dr-GajendraPurohit
      (Hindi) Linear Programming
      Problem for CSIR-UGC NET
      unacademy.com/lesson/lpp-introduction-and-concepts-of-linear-inequation-with-graph-in-hindi/0QVGBOHO
      (Hindi)
      Foundation Course of Probability and Statistics for CSIR NET
      unacademy.com/lesson/definition-and-concepts-of-various-terms-of-probability-with-example-in-hindi/F2UUQ6XO
      (Hindi) Partial
      Differential Equation (CSIR NET/GATE)
      unacademy.com/lesson/ili-standard-form-fpxgqy-application-of-charpits-method-in-hindi/VHT4KL3W
      (Hindi)
      Linear Integral Equation: CSIR NET
      unacademy.com/lesson/solution-of-fredholm-integral-equation-of-ii-kind-by-resolvent-kernel-in-hindi/5RSPH6QK
      (Hindi) CSIR UGC NET
      Previous Year Papers with Solutions |Topic:- Integral Equation
      unacademy.com/lesson/solution-of-csir-net-paper-june-2018-integral-equation-in-hindi/LWOW8F6G
      (Hindi) Linear Algebra
      (Part-II)- CSIR (Mathematics)
      unacademy.com/lesson/types-of-matrices-in-hindi/KH3LQPGB
      (Hindi)
      Linear Algebra (Part -I) For IIT-JAM/CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/CMLGX9SL
      (Hindi)
      Ordinary Differential Equation (First order and First Degree) with MCQs
      unacademy.com/lesson/course-overview-in-hindi/WPZE5C5B
      (Hindi) Calculus-
      Functions of One Variable: CSIR NET (Mathematics)
      unacademy.com/lesson/limit-part-ii-function-of-one-variable-in-hindi/PXJOQQO8
      (Hindi) Function Of Two
      Real Variables: CSIR UGC NET(Mathematics)
      unacademy.com/lesson/course-overview-in-hindi/VGIXIZXB
      (Hindi) Vector Calculus -
      CSIR NET
      unacademy.com/lesson/course-overview-in-hindi/C1DLI4UX
      (Hindi) Part 1: Integral
      Calculus for CSIR NET
      unacademy.com/lesson/basics-of-indefinite-integral-part-i-in-hindi/VY6XFY57
      Please share it
      with your Friends
      Thanks
      Dr.Gajendra Purohit

  • @charannlyagala
    @charannlyagala 5 ปีที่แล้ว

    Sir make videos on
    1.vector spaces and subspace
    2.Rank,change of basis of Matrix -the characteristic equation
    3.Diagonalisation
    4.eigen values and vectors
    5.complex eigen values

  • @architkhandelwal716
    @architkhandelwal716 5 ปีที่แล้ว +2

    Sir in last question why you start series with n=0 as we start every series with n=1 ??

  • @udaybhan4464
    @udaybhan4464 5 ปีที่แล้ว +2

    Sir machenics ka centre of gravity ki video bnaye please

  • @YashKumar-br5xi
    @YashKumar-br5xi 3 ปีที่แล้ว

    sir infinity ayega na if n=0, at 10:18
    as it is given 1/n.

  • @anjalikohli2564
    @anjalikohli2564 ปีที่แล้ว

    Sir...aapne bsc 2 year ki static and dynamic ki video kha uploade kri hai

  • @vanamabhinaytinku6552
    @vanamabhinaytinku6552 5 ปีที่แล้ว

    Sir please make on algebra

  • @ValorantKeeda
    @ValorantKeeda 3 ปีที่แล้ว +1

    video starts 1:30. thanks later

  • @goluuhumanityandequality6600
    @goluuhumanityandequality6600 3 ปีที่แล้ว

    Sir ap hama kon see book sa padata ho please bataiiya
    Oorr thank you sir for help ❤
    From Himachal

  • @riccks329
    @riccks329 3 ปีที่แล้ว +2

    8:16 mein question dikh nahi rahi hai🙄🙄🙄🙄

  • @ranjanamehmi1184
    @ranjanamehmi1184 3 ปีที่แล้ว +4

    Sir last question me n=0 pr(- 1)^n/n ki value 1 kaise aayi please bta dijiye

    • @shivaniraghav287
      @shivaniraghav287 3 ปีที่แล้ว

      Mera bhi yhi manna h

    • @adarshgupta3294
      @adarshgupta3294 2 ปีที่แล้ว

      if power of any interger is 1 then value of it is 1

  • @Pankajkumar-wh6eo
    @Pankajkumar-wh6eo 4 ปีที่แล้ว

    Sir
    How to identify the given question will be solve by any method

  • @ASHUTOSHSHARMA-fg1yy
    @ASHUTOSHSHARMA-fg1yy ปีที่แล้ว +2

    Ratio test sirf positive terms ke series ke liye hota ha?

    • @pratiksaha2935
      @pratiksaha2935 2 หลายเดือนก่อน

      no when summation Un is positive then we can apply, here the next terms are in decreasing order so in whole summation would be greater than 0

  • @govindarawat4456
    @govindarawat4456 5 ปีที่แล้ว +2

    Sir ye hone ke bad bessel and ligender par video upload kijiye please sir ji

  • @princefaizanahmed1448
    @princefaizanahmed1448 3 ปีที่แล้ว

    Sir, I want proof for this theorem.... am satisfied with leibinitz problem thank you sir

  • @sombuddha7185
    @sombuddha7185 5 ปีที่แล้ว +3

    Sir last prblm mein n agar 0 se start hua to series to undefined ho jayga, so n 1 se start ho na chahiye na, but thanks sir this video is so helpfull for me, mera alternating series ka concept aur bhi clear ho gaya,thank you so much,sir. Sir agar aap Group theory pe video upload kare to thora help ho jayga mera, pls upload on this topic.

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      Hello Sombuddha Biswas
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Please Share it With Your Friends
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      Please share it with your Friends
      Thanks
      Dr.Gajendra Purohit

    • @sombuddha7185
      @sombuddha7185 5 ปีที่แล้ว

      Obviously sir

  • @SwetaKumari-ly5eu
    @SwetaKumari-ly5eu 4 ปีที่แล้ว +1

    Sir PLZZ bsc. 2nd year ki statics ka questions slove kijiye na

  • @mahabratasengupta3775
    @mahabratasengupta3775 3 ปีที่แล้ว +2

    11:43
    The series is starting from n=0....but the first term becomes undefined...sir wrote 1.....how??

  • @aryansachdeva9063
    @aryansachdeva9063 3 ปีที่แล้ว

    sir Can you suggest book for first year of engineering mathematics

  • @manishkumarverma3486
    @manishkumarverma3486 ปีที่แล้ว

    Hello sir , agr Leibnitz ki koi ek bhi condition fail ho jaye to series not convergent keh skte hain na ?

  • @iplhero422
    @iplhero422 3 ปีที่แล้ว

    Sir aap alg se bsc 2nd year ki playlist bnaiye please sir

  • @chinmaythakur548
    @chinmaythakur548 2 ปีที่แล้ว

    5:41 it should be 1/(n-1)!

  • @AnkitMishra-og6qc
    @AnkitMishra-og6qc 3 ปีที่แล้ว

    Sir last question u used p series test u have taken p>1 as divergent but it should be convergent

  • @skkkkriptx
    @skkkkriptx 7 หลายเดือนก่อน

    Ex 2 me un+1>un hona chahiye sir
    To cvgnt vaali condition follow nahi karega us hisaab se

  • @kaushalgarg4014
    @kaushalgarg4014 4 ปีที่แล้ว +1

    Positive term mean ?

    • @desypandit
      @desypandit 4 ปีที่แล้ว

      Positive term series. Ka mtlb hota h ...ki series monotonically increasing ho ....

  • @e.ranujkumaruietians1873
    @e.ranujkumaruietians1873 4 ปีที่แล้ว +1

    Sir center of mass and gravity ka video ka aayega

  • @NeetuSingh-mh6wp
    @NeetuSingh-mh6wp 2 ปีที่แล้ว

    Sir last que me mod x greater than one hoga tb convergent joga

  • @pulkitmahera4543
    @pulkitmahera4543 4 ปีที่แล้ว +2

    is 5 + (-1)^n a alternating series??

  • @pinkibegum3558
    @pinkibegum3558 4 ปีที่แล้ว

    Sir, last question mai x=-1 put karne ke bad shayad wo HP series banjate hai but Apne bola ki woh p Series banjate hai