2950 Find the radius of convergence and the interval of convergence. k=1(1)k (x +

Chapter 9, Problem 47

(choose chapter or problem)

Find the radius of convergence and the interval of convergence.

$\sum_{k=1}^{\infty}(-1)^{k(x+1)^{2 k+1}}{k^{2}+4}$

Equation Transcription:

$\sum\limits_{k=1}^{\infty{}}{\left({-1}\right)}^{k}\frac{{\left({x+1}\right)}^{2k+1}}{{k}^{2}+4}$

Text Transcription:

sum _k=1^infinity (-1)^k (x+1)^2k+1/k^2+4

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