# Calculus: General Differentiation – #145

Question: Use the fact that the power series, centered at x = 0, for $$\frac{1}{1-x}$$ is $$\sum\limits_{n=0}^{\infty }{{{x}^{n}}}$$, find the power series for the following, with center at x = c.

(a) $$\frac{1}{x+3}$$, c = 5

(b) $$\frac{1}{{{\left( 1-x \right)}^{3}}}$$, c = 0