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## Homework Statement

I have this function [itex]f(x) = \frac{6}{1+49x^2}[/itex], and i suppose to represent this function as a power series [itex]\displaystyle f(x) = \sum_{n=0}^\infty c_n x^n[/itex]. Then i need to find the first few coefficients in the power series.

## Homework Equations

## The Attempt at a Solution

After attempting to find a solution to this problem, i get this series of [itex]\displaystyle f(x) = \sum_{n=0}^\infty 6(-1)^n 49x^{2n}[/itex]

I don't know if that is correct, since the only coefficient that i get correct is [itex]c_0 = 6[/itex], and the rest of the coefficients are wrong. Also, i get [itex]R = 1/7~\text {since a} = 6, \text{r} = 49x^2 \lt 1[/itex]