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Binomial theprem and expansion

  1. Apr 1, 2012 #1
    (1+x)^n=1+nx/1!+(n(n-1) x^2)/2!+⋯+ what are the last few terms of this ? I looked and tried but don't seem to get any text book answer for this.
     
  2. jcsd
  3. Apr 1, 2012 #2

    tiny-tim

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    hi rohan03! :smile:

    (try using the X2 and X2 buttons just above the Reply box :wink:)

    the binomial coefficients are symmetric (nCr = nCn-r),

    so it ends … + n(n-1) xn-2/2! + nxn-1/1! + xn :wink:
     
  4. Apr 1, 2012 #3
    Thank you . Can I prove with the help of this :
    (1+n)n ≥ 5/2nn- 1/2n n-1
     
  5. Apr 1, 2012 #4
    and if yes - please guide on how
     
  6. Apr 1, 2012 #5

    tiny-tim

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    just write out the last three terms …

    what do you get? :smile:
     
  7. Apr 1, 2012 #6

    HallsofIvy

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    This was also posted under "homework" so I am closing this thread.
     
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