- #1
KDawgAtsu
- 12
- 0
Homework Statement
Fin the Taylor series about x = 0 for:
f(x) = 1 / (1-x2)2
Homework Equations
g(x) = 1 / (1-x2)
The Attempt at a Solution
Differentiating g(x), the series representation of g'(x) is Ʃn(x2)n-1
Since f(x) = g'(x)/2x
f(x) = Ʃ(n/2)x2n-1
I'm pretty sure that's right, but what I don't get is that the solution for this problem is also written as Ʃn(x2)n-1, which is just g'(x).
What am I misunderstanding here?