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Taylor series

  1. Apr 13, 2009 #1
    1. The problem statement, all variables and given/known data

    To find the general series expansion (1-x)^-1 for the first 4 terms
    Do i just use the taylor series ?


    2. Relevant equations

    f(x) = f(x) + f '(x)/1! x + f ''(x)/2! x^2 + f '''(x)/3! x^3

    3. The attempt at a solution

    = 1 + x + x^2 + x^3 + x^4 etc.

    regards
    Brendan
     
  2. jcsd
  3. Apr 13, 2009 #2
    Looks good, except the taylor series of any function f around 0 is

    [tex]
    \sum{\frac{f^{(n)}(0)x^n}{n!}}
    [/tex]
     
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