(See) 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 the interval


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.

\(h\left( x \right)=\frac{x}{{{x}^{2}}-1}=\frac{1}{2\left( 1+x \right)}-\frac{1}{2\left( 1-x \right)}\)

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