[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 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.
\(f\left( x \right)=\arctan \left( 2x \right)\)
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