Evaluating limits by Conjugate Method - Limits and Radicals - Calculus

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  • เผยแพร่เมื่อ 29 พ.ย. 2024

ความคิดเห็น • 57

  • @GreaseMonkey33
    @GreaseMonkey33 9 หลายเดือนก่อน +64

    Bro u r an absolute G, bc of u I now only have an 80% chance of failing my calc exam rather than 100%
    Update: I got a 92%, this geezer is the real deal

    • @ociones
      @ociones 3 หลายเดือนก่อน +1

      Aint no way tutor me plsss

    • @GreaseMonkey33
      @GreaseMonkey33 3 หลายเดือนก่อน +9

      @@ociones No tutoring needed brotha, the trick is to be in prayer to the Lord, trust in His sovereignty whether He determines that you fail or succeed and keep your eyes on Christ man. Scriptures says "Seek first the Kingdom and all these things shall be added unto you". Hope this helps because this is literally the only thing I did other than cramming half a semester's worth of homework 4 days before the final cus I needed points lol.

    • @esmeralda9712
      @esmeralda9712 3 หลายเดือนก่อน +1

      ⁠@@GreaseMonkey33I’ve been stressing abt my calc placement test and this comment honestly helped me so much. You reminded me that all I need to do it’s trust in God and he’s got my back whether I pass or fail. Thank you🙏🏾

    • @GreaseMonkey33
      @GreaseMonkey33 3 หลายเดือนก่อน

      @@esmeralda9712 Glad to hear it man, this made my day! Proverbs 16:33 says "The lot is cast into the lap, but its every decision is from the Lord". You can cast your lots so to speak by preparing and doing your best in the exam, but the reality is ultimately that the Lord determines whether you fail or succeed, and that failure or success is ultimately promised to be the best outcome in scripture as it is the outcome that most magnifies the sovereignty of God and glorifies Him. God may have blessed me so far, but He may decide to test me in the future with failures on exams (and he has given me the gift of trials where I did fail to perform academically) but even that is something to be thankful for because it is the work of His hands. Rest assured in the promises of scripture, that we await a great kingdom bought for us by the blood of our Lord, and that if we persevere in *His* power, we will some day be united with our Savior! :D

    • @BackToBrazil
      @BackToBrazil 2 หลายเดือนก่อน +1

      whyd you have to call him a geezer lmfaoooo

  • @maris6843
    @maris6843 28 วันที่ผ่านมา

    Thank you for explaining why certain things are done, like why we use parentheses for the negative to distribute. Little explanations like that really help.

  • @lanaenjoyer
    @lanaenjoyer 28 วันที่ผ่านมา +1

    Just wanted to say that you helped me pass Calc II, I've never been good at math but somehow u made a miracle lmao

  • @allandizon5601
    @allandizon5601 9 หลายเดือนก่อน +2

    you made me learned enough sir
    long live sir

  • @elmoreglidingclub3030
    @elmoreglidingclub3030 9 หลายเดือนก่อน +1

    This is excellent! Where can I find a gazillion conjugation problems to work out so I can become confident and proficient in that method??

  • @lasgna8931
    @lasgna8931 4 หลายเดือนก่อน +3

    3:41 thank you for this method!

  • @nishusahu3681
    @nishusahu3681 10 หลายเดือนก่อน +5

    Thank you so much sir... ❤

  • @jonykhan4395
    @jonykhan4395 10 หลายเดือนก่อน +1

    Good work, Does limit solve undefined form or indeterminate form type of problems?

  • @EricSilomba
    @EricSilomba 3 หลายเดือนก่อน +1

    Good explanation

  • @BrendaCasipong-n9c
    @BrendaCasipong-n9c หลายเดือนก่อน +1

    to the last question,its -1/3 because √1+1+√1=3 ,not 2

    • @calculus997
      @calculus997  หลายเดือนก่อน

      @@BrendaCasipong-n9c no
      It is multiplication between first radical and …

  • @anotherguy5038
    @anotherguy5038 หลายเดือนก่อน

    Lay not up for yourselves treasures upon earth, where moth and rust doth corrupt, and where thieves break through and steal:
    But lay up for yourselves treasures in heaven, where neither moth nor rust doth corrupt, and where thieves do not break through nor steal:
    For where your treasure is, there will your heart be also.
    Matthew 6:19-21

  • @francislorenceangeles4943
    @francislorenceangeles4943 2 หลายเดือนก่อน

    In the last question, shouldn't the denominator become x^2√(1+x) because of x√(1+x) (x) when you subtracted the unlike fractions?

    • @calculus997
      @calculus997  2 หลายเดือนก่อน

      @@francislorenceangeles4943 least common denominator

  • @neeyjaa1
    @neeyjaa1 3 หลายเดือนก่อน +1

    at 11:40, why -2^2+5 = 9? shouldn't it be 1? -2^2 is -4 and when we +5 it is positive 1. Did I do something wrong?

    • @calculus997
      @calculus997  3 หลายเดือนก่อน +1

      (-2)^2 = 4

    • @neeyjaa1
      @neeyjaa1 3 หลายเดือนก่อน

      @@calculus997 i see, thank you!

  • @bandd4banddd
    @bandd4banddd หลายเดือนก่อน

    my prof tells me that in a particular case when you do the conjugate, you multiply the limit by the denominator, but you did it with the numerator. Why is that?

    • @calculus997
      @calculus997  หลายเดือนก่อน +1

      @@bandd4banddd it depends where the radicals are
      If they are in numerator then ….
      And if they are in denominator then …..

  • @buhlesihlabele
    @buhlesihlabele หลายเดือนก่อน

    How did we get to second step please help 😭

  • @jan-willemreens9010
    @jan-willemreens9010 ปีที่แล้ว +3

    ... Good day, An alternative way to solve the given indeterminate lim(x-->2)((SQRT(4x + 1) - 3)/(x - 2)) ... Rewrite the denominator (x - 2) as follows: x - 2 = (4x + 1) - 9 by first multiplying numerator and denominator by 4, thus: lim(x-->2)(4)((SQRT(4x + 1) - 3)/((4x + 1) - 9)) ... Treat the new denominator (4x + 1) - 9 as a difference of two squares: (SQRT(4x + 1) - 3)(SQRT(4x + 1) + 3) and finally cancell the common factor (SQRT(4x + 1) - 3) of numerator and denominator to obtain the solvable limit: (4)lim(x-->2)(1/((SQRT(4x + 1) + 3)) = (4)1/(3 + 3) = 4/6 = 2/3 ... I hope you appreciate this way too ... Thank you and take care, Jan-W

    • @calculus997
      @calculus997  ปีที่แล้ว +3

      Yes, it works, but unusual method

  • @vicndeches
    @vicndeches 3 หลายเดือนก่อน

    in the third example of x^2 +5 why cant we multiply with x+2

  • @corazonnn_
    @corazonnn_ 10 หลายเดือนก่อน +1

    Can someone pls tell me the method or the process of how he found the common denominator at 12:35

    • @xoppa09
      @xoppa09 10 หลายเดือนก่อน

      The common denominator of the denominators x and √1+x is just their product, since they have no common factors.
      This is the same situation if you wanted the common denominator of 1/5 and 1/7, which is the product 5*7.

  • @adamk5701
    @adamk5701 ปีที่แล้ว +3

    very nice and thorough method of explanation, thank you ^_^

  • @arslanmoghal5472
    @arslanmoghal5472 9 หลายเดือนก่อน

    Nice 👍

  • @AjeiIrigo
    @AjeiIrigo หลายเดือนก่อน

    We can also use l'hotipal's method which is quick am i right?

    • @calculus997
      @calculus997  หลายเดือนก่อน

      @@AjeiIrigo yes

  • @judgemanas9854
    @judgemanas9854 ปีที่แล้ว +1

    why is 2/√1+√1 = 2/2 ? shouldn't it be 2/√2? please enlighten me

  • @slottibarfast5402
    @slottibarfast5402 7 หลายเดือนก่อน

    While this is good the probem is that what are the odds that the numerator will have a common factor as the denominator? So many special cases when some general rule would be nice or graphically representing the expression and estimating the answer by observation. Let AI deal with the problem.

  • @LyudmilaÖdi
    @LyudmilaÖdi 2 หลายเดือนก่อน

    This is the kind of accent I vibe with

    • @arihee
      @arihee 2 หลายเดือนก่อน

      mamma mia

  • @AbdulSalam-ss4eu
    @AbdulSalam-ss4eu ปีที่แล้ว +8

    Why are we taking conjugate of numerator and not denominator

    • @itsdokuro610
      @itsdokuro610 11 หลายเดือนก่อน +2

      8:44
      Watch this

    • @abdallahneymar8615
      @abdallahneymar8615 10 หลายเดือนก่อน

      Yes oo man good question

    • @solomonikeoha9074
      @solomonikeoha9074 10 หลายเดือนก่อน +1

      What are you trying to get rid of?

    • @jvpro_rblx2955
      @jvpro_rblx2955 9 หลายเดือนก่อน +6

      We don't always use denominator, we use the term that has square roots to cancel them out

  • @meliodassama988
    @meliodassama988 ปีที่แล้ว +2

    Can i ask why in the last question, why is it not possible to combine (√x+1) and (1+√x+1)?

    • @calculus997
      @calculus997  ปีที่แล้ว

      if you talk about denominator, it makes it more complicated

  • @jayfrancisabraham7921
    @jayfrancisabraham7921 10 หลายเดือนก่อน

    thankyou sirrr

  • @bigfoot4034
    @bigfoot4034 ปีที่แล้ว

    Very good method

  • @SabaaOromo
    @SabaaOromo 7 หลายเดือนก่อน

    Good mathes

  • @illusoriokarlvincentv.2019
    @illusoriokarlvincentv.2019 ปีที่แล้ว +2

    thx for this video

  • @SisayInjigu-vm7gq
    @SisayInjigu-vm7gq ปีที่แล้ว

    Good vedio!!!

  • @jeremiahgallegos2111
    @jeremiahgallegos2111 ปีที่แล้ว

    How do you get 1-rad1+x for the numerator, I don’t get it

    • @calculus997
      @calculus997  ปีที่แล้ว

      first we did a common denominator, and so the numerator is ...

    • @itsmemario1298
      @itsmemario1298 11 หลายเดือนก่อน

      Yeah me too

    • @manuelissiahrito6917
      @manuelissiahrito6917 9 หลายเดือนก่อน

      im also confused on that last part on how you got the 1-rad1+x/xrad1+x
      @@calculus997