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

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

(b) \(\frac{1}{{{\left( 1-x \right)}^{2}}};\,\,c=0\)