Taylor series

  • Thread starter boneill3
  • Start date
  • #1
127
0

Homework Statement



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


Homework Equations



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

The Attempt at a Solution



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

regards
Brendan
 

Answers and Replies

  • #2
290
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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