009C Sample Midterm 3, Problem 5

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

(a)  ${\displaystyle \sum _{n=0}^{\infty }}{\frac {(-1)^{n}x^{n}}{n+1}}$

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

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