009C Sample Midterm 1, Problem 5

Find the radius of convergence and interval of convergence of the series.

(a)  Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \sum _{n=0}^{\infty }{\sqrt {n}}x^{n}}

(b)  $\sum _{n=0}^{\infty }(-1)^{n}{\frac {(x-3)^{n}}{2n+1}}$

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