(Steps Shown) Find the radius of convergence of the power series. ∑limits_n=0^∞
Question: Find the radius of convergence of the power series.
\[\sum\limits_{n=0}^{\infty }{\frac{\left( 2n \right)!{{x}^{2n}}}{n!}}\]
Deliverable: Word Document 
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[Solution] Use the definition to find the Taylor series (centered
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(See Solution) Use the shell method to setup and evaluate the integral
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