Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I

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  • เผยแพร่เมื่อ 10 พ.ย. 2024

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  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +222

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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  • @kuldeeplakheshwar7811
    @kuldeeplakheshwar7811 3 ปีที่แล้ว +1806

    India's best 'last minute savior', specially for engineering students 😁.

  • @sirivennela2260
    @sirivennela2260 5 ปีที่แล้ว +258

    I scored 28/30 just by seeing ur video in TH-cam abt tracing of curve and radius of curvature.. Thank u soo much sir

    • @yubrajkarki.
      @yubrajkarki. 2 ปีที่แล้ว +14

      u scored 28 marks in final exam or internal exams

    • @CaptureMatrix
      @CaptureMatrix หลายเดือนก่อน

      mid sems ??

  • @niteshrajak6236
    @niteshrajak6236 2 ปีที่แล้ว +74

    In 2nd question of Taylor's expansion you take tan in the place of tan^-1(tan inverse) at the time of placing values (pi/4).

  • @shreyanshtiwari2366
    @shreyanshtiwari2366 2 ปีที่แล้ว +1050

    Who is here before 1 day of exam ?😊😊😊😊

  • @AS-dq1ku
    @AS-dq1ku 2 ปีที่แล้ว +56

    Sir the best part of you that you don't make any video longer....
    That helps me to complete any topic in just few minutes... 😊
    Thanks sir.. ❤️

  • @gourprashant1525
    @gourprashant1525 2 ปีที่แล้ว +4

    Sir aap ka concept bahut acchhe se samajh aata hai

  • @PriyanshuBhalla0
    @PriyanshuBhalla0 ปีที่แล้ว +24

    THANK YOU VERY MUCH SIR.... WITHOUT THIS I WOULD HARDLY PASS MY MATHS EXAM...YOU ARE BLESSING FOR US❤️

  • @shreyaskulkarni6910
    @shreyaskulkarni6910 3 ปีที่แล้ว +33

    2 waqt ki roti rehane ke liye ghar aur maths me pass hone ke liye Purohit sir aur kya chahiye jine ke liye, hats off to ur work sir, great fan of yours 🙏🏻🙏🏻🙏🏻🙏🏻

  • @informalpivots7673
    @informalpivots7673 3 ปีที่แล้ว +16

    Normal student is learning online now from school and
    Pros are learning from here
    Thank u sir ❤️

  • @oreawajojoda
    @oreawajojoda ปีที่แล้ว +6

    sir, in the question 2 there is mistake tan-1(pie/4) is not possible
    so change the question as,
    expand tan-1x to the power of (x-1)

  • @vinodbamniya6872
    @vinodbamniya6872 4 ปีที่แล้ว +1

    Sir aapke video se muje help Mili aur mene class me maths me second position hasil ki ....... Aap concept aache se explain krke questions smjhate hoo ....
    Thank you so much sir

  • @saakshi5823
    @saakshi5823 3 ปีที่แล้ว +23

    Sir, in the tan x question, f(pie/4), will not be 1 because the range of the Tan inverse function is (-pie/2,pie/2) hence it should be written as it is tan inverse pie/4...... btw good videos

    • @RahulKumar-nd2sp
      @RahulKumar-nd2sp 2 ปีที่แล้ว

      Yeah, I also noticed the same

    • @AnkitGupta-ix3st
      @AnkitGupta-ix3st 2 ปีที่แล้ว

      Yes, I've noticed this🙂

    • @sarthakjain5084
      @sarthakjain5084 2 ปีที่แล้ว +1

      I was looking for someone in the comments to pinpoint this mistake nd i found u cutie

  • @sonamsonam4824
    @sonamsonam4824 10 หลายเดือนก่อน +1

    Sir m to Puri MSc maths aapse hi padh rahi hu or mujhe benefit bhi ho raha hai ❤❤ sir aap bahut acha padhate ho bhagwan aapko lambi Umar de or aap khush raho always ❤❤❤❤❤❤❤

  • @jasobantadas4945
    @jasobantadas4945 3 ปีที่แล้ว +50

    11:47 thats tan ^ -1(pi/4) and it is not equal to 1
    Thank a lot for ur efforts sir

    • @manpreetkaur1757
      @manpreetkaur1757 3 ปีที่แล้ว +1

      @@cinemann7 no..tan inverse ,,its not like u r saying it..its value cannot be one

    • @adityamajumder2689
      @adityamajumder2689 2 ปีที่แล้ว

      @@cinemann7 bhaisaab whole inverse mein hota h

    • @shrantsiddhe
      @shrantsiddhe 2 ปีที่แล้ว

      Yes

  • @bishnumadkami6453
    @bishnumadkami6453 ปีที่แล้ว +3

    I am very happy for your teaching sir .thank you so much sir

  • @kaustubhpaturi4801
    @kaustubhpaturi4801 4 ปีที่แล้ว +18

    While watching this video, I realised that my right ear is deaf...
    But the explanation is really very clear. The way you teach, I feel like skipping college math classes and learn from your videos.
    Thank you so much sir!!

    • @bemoreawesome8955
      @bemoreawesome8955 2 ปีที่แล้ว

      How did you came to know that your right year is deaf

    • @koli_samaj1204
      @koli_samaj1204 2 ปีที่แล้ว

      @@bemoreawesome8955 tik tik ki avaj se 😀

  • @deepakkumarkapri902
    @deepakkumarkapri902 4 ปีที่แล้ว +2

    Sir, aap bahut accha kar rahe hain , tution se achcha To aap padha lete hain aap aise hi padhte rahe ham log ko hum Bhagwan se yehi dua karenge ki aap lambe samay Tak jiye aur aap students ko madad Karen thank you very much sir

  • @aalokbhanot08
    @aalokbhanot08 5 ปีที่แล้ว +27

    great effort on your part sir. it really helps a lot during exams. you have covered the whole syllabus in a very systematic way and it is very useful to understand the concept easily😊

  • @khushalkhangharani9394
    @khushalkhangharani9394 3 ปีที่แล้ว +8

    Nimasty Sir! Sir your way of teaching is appreciable God Bless you💗

  • @MarufKhan-sm6ln
    @MarufKhan-sm6ln 5 ปีที่แล้ว +71

    My favourite teacher, love u sir ❤️❤️❤️

  • @Unkown4685
    @Unkown4685 2 ปีที่แล้ว +2

    Thank you Soo much sir... I passed my M1 by referring ur vdos within 3 days... Basically I'm a lateral entry student to engineering Soo they haven't teach m1 properly Soo I have referred ur vdos before 3 days... Finally I have passed ❤️ thank you sir 👍🙏

  • @shreyakumari9616
    @shreyakumari9616 3 ปีที่แล้ว +13

    Sir please make videos on hyperbolic and inverse hyperbolic functions also..
    Ur videos are really helpful sir..ur efforts are really excellent sir...

  • @melodyvibescanorous
    @melodyvibescanorous 9 หลายเดือนก่อน

    We are grateful that we have such top level mentorship. Concepts have been made so easy to understand.
    Worth learning!!

  • @cvrcollege9552
    @cvrcollege9552 4 ปีที่แล้ว +18

    THANK YOU SIR, You saved me from failing in tomorrow examination
    Now I am confident.
    Thankyou so much sir...
    Sir,I have watched sequences and series,multivariate calculus and univariate calculus
    Far better than my lecturer.........
    Good examples too...
    👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌Thankyou so much sir..

  • @zenerywei2178
    @zenerywei2178 ปีที่แล้ว +10

    Big Thanks to you sir Gajendra🙏
    May god bless your Life 💗

  • @pratyushraj3393
    @pratyushraj3393 3 ปีที่แล้ว +12

    You made this topic very much easy to understand. Thank you sir🙏🏻🙏🏻

  • @RAMKUMAR-ni8uw
    @RAMKUMAR-ni8uw 2 ปีที่แล้ว +6

    very helpfull lecture sir greatest mathematics channel ever i have seen ..... so respect sir

  • @adarshsingh8464
    @adarshsingh8464 4 ปีที่แล้ว +14

    thank you sir for uploading such as wonderful videos, after understanding theorem and solving example i had solved all questions my book,please upload videos on bsc 2nd year mathematics

  • @manishdev8695
    @manishdev8695 4 ปีที่แล้ว +1

    Mujhe apka sara video smjh me aa jata hai
    Thanks you sir for our mentor 🙏🙏🙏

  • @Yash123-c9g
    @Yash123-c9g 2 ปีที่แล้ว +3

    Thanks a lot sir,just viewing it 1day before my externals but I totally understand it.

  • @Sageerahamedkhan
    @Sageerahamedkhan 4 ปีที่แล้ว +1

    Are sir g maine to phli bar apka video dekha h aj
    Ksm se sir g mja aaa gya
    Thank you very much sir

  • @bhaskarainam7672
    @bhaskarainam7672 2 ปีที่แล้ว +4

    Gajendra sir u r really last minute savior 🔥🔥

  • @satyamppps
    @satyamppps 4 ปีที่แล้ว +2

    Awesome sir.
    I am also a physics teacher at kota.
    I am studying mathematics for my gate paper.
    U r just awesome.

    • @ajonson758
      @ajonson758 4 ปีที่แล้ว +1

      If you are physics teacher at kota then i am maths professor of Stanford University 🤣
      Just kidding Don't mind 😃😊

  • @vaibhavkaushik627
    @vaibhavkaushik627 3 ปีที่แล้ว +13

    Sir,you are doing a great job. I wish for your prosperity.May every God blesss. You videos are very good are help me a lot.Stay motivatedd and be happy.

  • @POOJASINGH-hd5qi
    @POOJASINGH-hd5qi 2 ปีที่แล้ว

    Sir aapke samjhane ka tarika bahut acha h mai bhi aise hi samjhti hu pahle example solve krke fir theory

  • @RahulKumar-hq6wm
    @RahulKumar-hq6wm 5 ปีที่แล้ว +8

    Sir thank you for all of this what you are doing to us......😊😊😊😊
    I am a kind of poor in maths but your lectures are really helpful to me.

    • @yubrajkarki.
      @yubrajkarki. 2 ปีที่แล้ว

      u are poor and very poor in mathematics

  • @ShivaKumar-to6lp
    @ShivaKumar-to6lp 5 ปีที่แล้ว +1

    Sir apki video meri bahut help krti h

  • @b30luvkumar52
    @b30luvkumar52 2 ปีที่แล้ว +9

    sir you are god to me , teachers like you are reason why im topping my college .

  • @nishantpatel6755
    @nishantpatel6755 3 ปีที่แล้ว +4

    Thanks sir ❤️
    But sir last question can also be solved like--. Taking "log x " in LHS and then by property we can write log(1+x/h)and then use expansion we can get the result.🙂

  • @sauravsharma4028
    @sauravsharma4028 4 ปีที่แล้ว +3

    I m studying ur videos sir for LT exam
    Thank u so much sir

  • @savanpatel7118
    @savanpatel7118 3 ปีที่แล้ว +2

    Sir I’m from NIT and really you are teaching as same as my teacher in NIT
    Apako to IIT/NIT me hona chahiye....!!!

  • @ELBMohdUsman
    @ELBMohdUsman 2 ปีที่แล้ว +6

    Thank you very much sir🙂 .Your teaching style is magnificent⭐.
    Keep doing this awesome work.
    We love you sir.

  • @TechWithSurya
    @TechWithSurya 2 ปีที่แล้ว

    Sir, End Moment Par Bacha Liya Aapne Tnxx trillions of time

  • @pavanajsridhar939
    @pavanajsridhar939 4 ปีที่แล้ว +31

    sir, you are awesome! But mathematics is all about proofs. There are very few proofs of theorem in your channel and plenty of problems to ace any exam.But I am sure there are math lovers who are ready to learn extensive proofs of various theorems especially from an awesome teacher like you sir. Therefore , I request you to make more conceptional videos with proofs rather than mere statements and assumptions .

    • @DC-zi6se
      @DC-zi6se 2 ปีที่แล้ว +2

      I think this is more for Phyiscs, Stat and Engineering students. Rather than pure math.

  • @Muhammadkashif-kg5sw
    @Muhammadkashif-kg5sw 2 ปีที่แล้ว +1

    Good sir
    Your video help me

  • @abhiseksahoo7491
    @abhiseksahoo7491 3 ปีที่แล้ว +5

    Sir here in one question you've used tan-1(π/4)=1. But it's wrong. But rest of the class is very helpful for me. Thank you sir for uploading such type of videos 👍

  • @RameshTomar-y4w
    @RameshTomar-y4w ปีที่แล้ว

    Very very thank you so much sir aapke ki halp se mujhe aadhi maths aa gyi he I'm engineering student

  • @janvijpatel219
    @janvijpatel219 4 ปีที่แล้ว +21

    Greetings sir !! You have a great energy. Your videos are helping me a lot in my preperations😇 you are doing great sir thank you so much 😇

    • @DineshSharma-ee9qs
      @DineshSharma-ee9qs 3 ปีที่แล้ว +1

      Janvi Patel ji aapki aakhe mregnaini jaisi h yaar mainbloig

    • @babloo4423
      @babloo4423 2 ปีที่แล้ว

      Same

  • @rajkumarwilliamson6659
    @rajkumarwilliamson6659 3 ปีที่แล้ว

    Best teacher for maths

  • @shubhtrivedi19
    @shubhtrivedi19 3 ปีที่แล้ว +7

    I have understood it clearly. Thank you sir so much 🙏🏻🙏🏻

  • @vivekkumarsingh9251
    @vivekkumarsingh9251 2 ปีที่แล้ว

    Your teaching method is best

  • @ruovinuousou2163
    @ruovinuousou2163 4 ปีที่แล้ว +3

    Sir, What is the difference between Taylor's series and Taylor's theorem?

  • @simranmahendru2910
    @simranmahendru2910 3 ปีที่แล้ว +1

    Best teacher ever

  • @MukundJainBCL
    @MukundJainBCL 3 ปีที่แล้ว +5

    sir in second question you have made a mistake in putting the value of pi/4 it should be 1 in place of pi/4 but its great video thank u

  • @Shorts_4_U84
    @Shorts_4_U84 3 ปีที่แล้ว

    Sir aapka video lectures na mare maths subject ko aacha kar diya he thanks sir

  • @purnimamondol5979
    @purnimamondol5979 3 ปีที่แล้ว +4

    Thank you so much sir. Its really helpful.
    Grateful to you sir 🙏❤

  • @vandanachauhan4578
    @vandanachauhan4578 3 ปีที่แล้ว +4

    Your videos are really nice sir your way of learning is appreciable

  • @kdknowledge7453
    @kdknowledge7453 3 ปีที่แล้ว

    Very nice work sir iam student of bsc 1 year tis video is very helpful

  • @debashiskar8970
    @debashiskar8970 5 ปีที่แล้ว +8

    sir, tan^-1(pi/4)=1 kayse huya ? [2nd problem main]

    • @user-mx1hm7ju8q
      @user-mx1hm7ju8q 4 ปีที่แล้ว +4

      mistaken, more mistakes done as well

  • @Khankhan-zt1st
    @Khankhan-zt1st 2 ปีที่แล้ว

    Best teacher in my world 🌍
    Thanks Sir g

  • @sumanranjanpujari7871
    @sumanranjanpujari7871 5 ปีที่แล้ว +17

    Sir Taylor theorem cauchy form of remainder yeah bhi chahiye

  • @ronaksingh6236
    @ronaksingh6236 3 ปีที่แล้ว

    sir you are my favourite teacher

  • @MithleshKumar-yy3fe
    @MithleshKumar-yy3fe 5 ปีที่แล้ว +4

    Sr after solution u gives some questions related to theorems ,,,, because we can solve the problem ,,,,,,,,
    And plz provide any reference book preparation for BPSC and UPSC for mathematics

  • @garimatripathi2181
    @garimatripathi2181 ปีที่แล้ว

    Itne short time me clearly explain karne ke liye thank you sir

  • @mdnasifmahmudzishan7032
    @mdnasifmahmudzishan7032 4 ปีที่แล้ว +3

    Sir your videos are just too good and helpful !!!!

  • @deepaksingh603
    @deepaksingh603 3 ปีที่แล้ว

    Sir, you best teacher of bsc.

  • @lalitasingh9698
    @lalitasingh9698 3 ปีที่แล้ว +7

    Tomorow is my maths sessional and here i am . 3 more unit to go haha

  • @Celebrity_arpit
    @Celebrity_arpit 4 ปีที่แล้ว +7

    Sir your contents are really helpful for mathematics exam,😍😍Thank you Sir for your precious time😇

  • @sonamsonam4824
    @sonamsonam4824 10 หลายเดือนก่อน

    Best maths teacher in the world ❤❤

  • @debjeetdas_0687
    @debjeetdas_0687 5 ปีที่แล้ว +3

    very helpfull sir...ur way of explanation is just amazing..

  • @swaeroeswarriors44
    @swaeroeswarriors44 3 ปีที่แล้ว

    Your are the one of best teacher in my life

  • @imranomar207
    @imranomar207 2 ปีที่แล้ว +3

    Dear Sir Great job keep it up

  • @indiano.1education364
    @indiano.1education364 5 ปีที่แล้ว

    Sir Kya kahu kitani aapki tarif karu sir bahut achha samajh Mai aa raha hai thanks............ Sir Please aise hi hamari help karate rahiye

  • @envfamily9938
    @envfamily9938 2 ปีที่แล้ว +9

    Thank you so much sir....it really helped me a lot for last minute preparation 🙂🙂

  • @mst.laysaislammaria7748
    @mst.laysaislammaria7748 24 วันที่ผ่านมา

    Best Teacher ❤

  • @rohitjaiswal8601
    @rohitjaiswal8601 ปีที่แล้ว +5

    Thanks a lot sir for all these wonderful content

  • @RoshanKumar-gp5hu
    @RoshanKumar-gp5hu 5 ปีที่แล้ว +1

    Sir your teaching method is too good really sir please jada short karke ni padhaiye kahi kahi confusion ho jata h, by the way I have no words to say u sir thank you so much

  • @niharikakapil5759
    @niharikakapil5759 3 ปีที่แล้ว +5

    Really helpful video sir...keep making these videos ❤️

  • @rise5am943
    @rise5am943 3 หลายเดือนก่อน

    Very very sufficient of all your video sir ji 🎉🙏✍️

  • @vashishtdubey8034
    @vashishtdubey8034 3 ปีที่แล้ว +3

    Sir! can you suggest best book for btech first year.

  • @abidhossain3570
    @abidhossain3570 3 ปีที่แล้ว

    Super helpful sir. Thanks a lot....I'm from Bangladesh. It helped me a lot before my exam.

  • @hrt1327
    @hrt1327 3 ปีที่แล้ว +3

    At 8:04, why did he take f(2+x-2) anyone?

  • @subhammaharana2160
    @subhammaharana2160 3 ปีที่แล้ว +1

    Please upload a video on career opportunities after B. Sc mathematics

  • @hardikkumar6205
    @hardikkumar6205 3 ปีที่แล้ว +7

    Sir, can these lectures be useful for BSC students
    Please reply hurry

  • @utkarshpandey8967
    @utkarshpandey8967 3 ปีที่แล้ว +3

    Thank you very much sir for putting this much effort for us.

  • @babloo4423
    @babloo4423 2 ปีที่แล้ว

    Sir you solved my all questions thank sir you all God for me

  • @theycallmedinesh
    @theycallmedinesh 3 ปีที่แล้ว +5

    Sir 11:50 par fx =tan inverse x h wha value 1 nhi aayegi

  • @ashugautam5121
    @ashugautam5121 3 ปีที่แล้ว

    Sir achha padhate ho thank you sir

  • @Sportsenthusiasmsupporters
    @Sportsenthusiasmsupporters 4 ปีที่แล้ว +23

    Sir I would like to apologize to you you are great but in 13:44 sir tanπ/4 =1 but tan inverse π/4 not equal to 1

    • @something7419
      @something7419 4 ปีที่แล้ว +2

      exactly

    • @Navneet_100
      @Navneet_100 4 ปีที่แล้ว +7

      Oh bro understand the concept not the calculations. Sir's main focus is to teach concept and calculations mistakes are just silly one can neglect it.

    • @ashleystephen7365
      @ashleystephen7365 3 ปีที่แล้ว +2

      @@Navneet_100 Tell that to my Maths Teacher

    • @Navneet_100
      @Navneet_100 3 ปีที่แล้ว +1

      @@ashleystephen7365 You are not a school going student .
      Knowing concept and not implementing it , will lead to silly calculation mistakes only.

    • @saikiranchowdary7376
      @saikiranchowdary7376 3 ปีที่แล้ว

      @@Navneet_100 All r imp bro

  • @sultanalikhan9738
    @sultanalikhan9738 2 ปีที่แล้ว

    Best teacher in the world 🔥🔥🔥🔥

  • @imuv1008
    @imuv1008 9 หลายเดือนก่อน +5

    Taylor Swift❌ Taylor series✅

  • @NikhilChauhan-o9c
    @NikhilChauhan-o9c หลายเดือนก่อน +1

    Before college nexa classes and now sir you ❤❤❤

    • @Captain-7-7
      @Captain-7-7 หลายเดือนก่อน

      Ha bhai 😅

  • @phy2503
    @phy2503 ปีที่แล้ว +3

    tan inverse pi/4 is 1?

  • @soloexplore8870
    @soloexplore8870 ปีที่แล้ว

    Thank you sir.
    For your great teaching,
    Katsa Pa Gyalson
    Love from Ladakh .

  • @NumeroCinko
    @NumeroCinko 4 ปีที่แล้ว +6

    Sir aapne tan^-1(x) ki jagah tan(x) kar diya hai..
    To vo 1 ki jagah 38.14 aa raha hai..

    • @arpitaroy1044
      @arpitaroy1044 3 ปีที่แล้ว +1

      Actually that funtion will be tan^-1(π/4). But i can't understand that portion which sir did in the solution.

    • @NumeroCinko
      @NumeroCinko 3 ปีที่แล้ว

      @@arpitaroy1044 yeah thats what i am saying... Bcz tan^-1(π/4) = 38.14...
      And we did this one bcz the formula itself says f(x) = f(a) + (x-a)f'(a) +....
      So, in order to find the term f(a), where a = π/4, we simply put it into the formula.
      So here, f(a) = f(π/4) = tan^-1(π/4) ...
      Hope it helps✌️

  • @simviii_1120
    @simviii_1120 2 ปีที่แล้ว +1

    Very nyc way of teaching 🙏

  • @GaganpreetSingh-ft1xi
    @GaganpreetSingh-ft1xi 4 ปีที่แล้ว +5

    Sir , u r really doing well👍💯
    Keep it up . ❤️❤️

    • @yubrajkarki.
      @yubrajkarki. 2 ปีที่แล้ว

      sir ko keep it up bol ta hai he is very eduacted lecturer and professor samjha tu unke samne piddu hai chota sa nanha sa bachaa ache sey padae kar samja bada aya keep it up bolne wala chachundar k bachhe

  • @madhav6248
    @madhav6248 3 ปีที่แล้ว

    Sir you are the best teacher of higher maths sir please keep doing our help sir

  • @lefthooklarry6983
    @lefthooklarry6983 4 ปีที่แล้ว +3

    Your videos have helped me immensely in passing maths 3 . Thanks a lot sir🙏