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Taylor series expansion

  1. Feb 16, 2010 #1
    1. The problem statement, all variables and given/known data
    I am trying to find the Tn(x) for sqrt[x] centered at a=1


    2. Relevant equations




    3. The attempt at a solution
    right now i have
    f'(x)=1/2x^-1/2
    f''(x)=-1/4x^-3/2
    f'''(x)=3/8x^-5/2
    f''''(x)=-15/16x^-7/2
    f'(1)=1/2
    f''(1)=-1/4
    f'''(1)=3/8
    f''''(1)=-15/16

    how do i find the coefficient for the nth term?? i keep getting stuck
    i tried n/2+1/(-2)^n.. doesn't work
    or 1/(-2)^n*(n/2-1)....fail
    help please
     
  2. jcsd
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