The subtle exponential

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  • Опубліковано 27 лис 2024

КОМЕНТАРІ • 66

  • @jeesimplified-subject
    @jeesimplified-subject  23 дні тому +3

    Revision start ni kiya hoga?
    Enrolments are now open for revC25, Only 60 entries open for live program! courses.jeesimplified.com/courses/Revision-Course-Math-and-Physics-66ec38402c79b06466a55fe8-66ec38402c79b06466a55fe8

  • @FAUXVIKINGIITB
    @FAUXVIKINGIITB 22 дні тому +13

    For the last problem which you mentioned 1/(3n)!
    It is quiet easy, just put 1, w, and w² in the expansion of (e)^x and add all the three series you directly get, the required ans.
    In addition to this for finding the summation of any integral mutiple of a number like for example, you want to find 1/(5n)! Then, put the roots of 5th root of unity one by one in (e)^x and add all of them, theough this i think we will be able to find for any nth multiple of n.

    • @Colded-h1m
      @Colded-h1m 22 дні тому +2

      @@FAUXVIKINGIITB For any gap of k terms putting kth terms of unity and adding kth equations gives f(a)+f(ka)+..

    • @soumilmittal9874
      @soumilmittal9874 20 днів тому

      Do u have the answers to other 2 ques?

    • @FAUXVIKINGIITB
      @FAUXVIKINGIITB 12 днів тому +1

      ​@@Colded-h1m yes, and as we know that sum of nth roots of unity is zero, so the unwanted terms each have coefficient of sum of nth roots of unity which will be zero, and hence we would be left with only the required ones.

  • @studyphobe9005
    @studyphobe9005 22 дні тому +5

    For someone struggling with learning the expansion.. just understand the taylor series or maclaurin series, all the expansion could easily be derived from there.
    Anyways nice questions, struggled a bit but did it 👍

  • @dheerendrayadav8335
    @dheerendrayadav8335 23 дні тому +22

    2024 me ayega sun sun k mujhe lagne laga tha mai pichhle saal ka video dekh raha 😅

  • @iUt-curse
    @iUt-curse 22 дні тому +1

    Bhaiya aab aap tagada explanation krr rhe ho ! ITF wale session me Accha samjate to the but Iss level pe nahi ! TYSM abhi sabh acche se samaj aaraha hai

  • @Tryha4d
    @Tryha4d 22 дні тому +5

    I do remember solving something like this in limits not revising killed my math

  • @FAUXVIKINGIITB
    @FAUXVIKINGIITB 22 дні тому +1

    Solved 2 from the 3 questions, and i already knew the actual concept.

  • @shreya_2507n
    @shreya_2507n 22 дні тому +1

    please also share the final answers for the other 2 questions .... thank you!

  • @riteshchakraborty9320
    @riteshchakraborty9320 23 дні тому +4

    People who did this after knowing that no v(n) methd is used❤

  • @ExquisiteHappiness
    @ExquisiteHappiness 22 дні тому +3

    Bhaiya 3rd question karte samay I finally reached to 1/3 (Σ[1/(n-3)!])
    Limit n = 0 to ∞, but how can this be possible, negative number aa jayega inside factorial
    I considered 1/(n-2)! inside the sigma, am I wrong?

    • @IshaanSingla-ht5rp
      @IshaanSingla-ht5rp 22 дні тому

      Same mera bi aesa hi sum aaya hai

    • @soumilmittal9874
      @soumilmittal9874 21 день тому

      Same bro i did something else but having the same problem. Negative number in factorial

    • @ExquisiteHappiness
      @ExquisiteHappiness 21 день тому

      @@soumilmittal9874 okay uska ek solution hota hai
      Jaise suppose Σ(n/n!) , n = 0 to ∞
      Agar (n-1)! me leke jana hai to aaise Karo n = 0 wala term sum ke bahar taaki (n-1)! me n = 0 na ho sake
      i.e
      0 + Σn/n(n-1)! , here n = 1 to ∞
      = Σ1/(n-1)!, n = 1 to ∞
      = e
      Aaise lekin 3rd question me aaisa nhi kar sakte

    • @soumilmittal9874
      @soumilmittal9874 21 день тому

      @@ExquisiteHappiness ok bro tysm!!🙏🙏

    • @soumilmittal9874
      @soumilmittal9874 20 днів тому

      @@ExquisiteHappiness do u have the ans for other 2 ques?

  • @RoseGautam-sw6ly
    @RoseGautam-sw6ly 23 дні тому +2

    Ye saare important expansion ki ek lec bana do pls

  • @shauryavardhansingh9186
    @shauryavardhansingh9186 21 день тому +1

    Answers of rest two?

  • @vijaysingh-vx4gf
    @vijaysingh-vx4gf 22 дні тому +1

    whats the answer for rest two??

  • @JitakaharKalita
    @JitakaharKalita 22 дні тому

    Differentiation of ex multiplying with x two times and done

    • @mathsshikshajee
      @mathsshikshajee 21 день тому

      can u explain or give source?

    • @JitakaharKalita
      @JitakaharKalita 21 день тому

      @mathsshikshajee for n³/n!
      Write e^X expansion = 1+x/1!+x²/2! +......
      Differentiate it
      e^x= 1/1!+2x/2!+3X²/3!+.....
      Now multiply with X
      Xe^x= x + 2X²/2!+3X³/3!+.....
      Differentiate it
      Do it same again and see magic
      Differentiate it

    • @mathsshikshajee
      @mathsshikshajee 21 день тому

      @@JitakaharKalita sounds fabulous, but while differentiating e^x become x.e^(x-1) ?? But you didn't

    • @JitakaharKalita
      @JitakaharKalita 21 день тому

      @@mathsshikshajee bro e^x differentiation is still e^x .... I think avi 10th ya 11 th me honge it's ok ekbr dekh lena
      Xe^x differentiation is
      e^x+ Xe^x

    • @mathsshikshajee
      @mathsshikshajee 21 день тому +1

      @@JitakaharKalita ok i knew that but i forgot , i am in 11 th . thanks for guiding 👍

  • @shubharmy5527
    @shubharmy5527 20 днів тому

    Which chapter problem is this

  • @cdkw2
    @cdkw2 23 дні тому

    very subtle

  • @soumilmittal9874
    @soumilmittal9874 20 днів тому +1

    Sir plz provide the correct ans for the other 2!!!😢 not able to find it anywhere

    • @SarthakSharma-b8w
      @SarthakSharma-b8w 13 днів тому

      2nd ka h e-1/3 , aur 3rd ka h 41e/8 - 19e^-1/8 - 10

  • @motivationwitharmughan4603
    @motivationwitharmughan4603 23 дні тому +1

    maza aagaya

  • @PranavSharma-u6z
    @PranavSharma-u6z 23 дні тому +3

    Bhaiya pls reply
    I am confused
    I want a book for theory and tough illustrations
    So i am confused btw arihant and om sharma pls reply

  • @purvanshsharma9705
    @purvanshsharma9705 22 дні тому

    2nd and third hogye but first waala nahi horaha, koi please bta sakta hai.

  • @Sujal2007-v6y
    @Sujal2007-v6y 22 дні тому +1

    Lagta hai pichle year ka video edit krke daal diya😂

  • @Colded-h1m
    @Colded-h1m 23 дні тому +1

    Yesb khudse figure out krne me kitna mehnat laga tha bhaiya ap free me competition badha rahe ho🗣️😩

  • @painfullystupid9692
    @painfullystupid9692 22 дні тому

    In my opinion differentiation is just easier

  • @LakshyaVN
    @LakshyaVN 22 дні тому +5

    If NTA actually sticks to syllabus this time then Summation of series is out of syllabus

  • @shivx3295
    @shivx3295 23 дні тому +6

    thank god easy vala tareeka reveal nhi hua

  • @shivx3295
    @shivx3295 23 дні тому +4

    2024 nhi 2025

  • @star2603
    @star2603 23 дні тому

    First ! Pin plss