009C Sample Midterm 1, Problem 5

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

(a)  $\sum _{n=0}^{\infty }{\sqrt {n}}x^{n}$

(b)  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^\infty (-1)^n \frac{(x-3)^n}{2n+1}}

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