[Solution] Use the fact that the power series, centered at 0, for (1)/(1-x) is ∑limits_n=0^∞ x^n , find the power series for the following function
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.
- \(\frac{1}{x+3};\,\,\,c=5\)
- \(\frac{1}{{{\left( 1-x \right)}^{2}}};\,\,c=0\)
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