Hi there,

I am trying to Verify that $\displaystyle f(x)=\frac{1}{3+2x}$

has power represenation of the sum from n=0 to infinity of

$\displaystyle \sum_{n=0}^{\infty}\frac{(-1)^n2^n}{3^{n+1}}*x^n$

I am aware of the differentiation and integration rules of the series, will I need those to complete the problem?

Any direction would be greatly helpful.

Thank you!!