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