Question:

Find a power series representation for the function.

$\displaystyle f(x) = \frac{3}{1-x^2}$

My solution:

Since, $\displaystyle \frac{1}{1-x} = 1 + x + x^2 + x^3 + .... = \sum_{n=0}^{\infty} x^n$

Then,

$\displaystyle

\frac{3}{1-x^2} = \sum_{n=0}^{\infty} 3x^{2n}

$

Am I correct?