Problem:

Consider the following infinite series.

$\displaystyle 3 - 3x + 3x^2 - 3x^3 + 3x^4 - ... $

(a) For what values ofxwill the sum of the series be a finite value?

(b) Find the value of the infinite series forxin the interval in part (a).

Could somebody explain how this is done? I really don't understand where to even start...