Stats Solutions

(See Solution) Use the power series (1)/(1+x)=∑limits_n=0^∞ (-1)^nx^n to determine a power series centered at zero for the function. Identify

Question: Use the power series

\[\frac{1}{1+x}=\sum\limits_{n=0}^{\infty }{{{\left( -1 \right)}^{n}}{{x}^{n}}}\]

to determine a power series centered at zero for the function. Identify the interval of convergence.

\(f\left( x \right)=\frac{2}{{{\left( x+1 \right)}^{3}}}=\frac{{{d}^{2}}}{d{{x}^{2}}}\left[ \frac{1}{x+1} \right]\)

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