009C Sample Midterm 2, Problem 3

Determine convergence or divergence:

(a)  Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \sum _{n=1}^{\infty }(-1)^{n}{\sqrt {\frac {1}{n}}}}

(b)  $\sum _{n=1}^{\infty }(-2)^{n}{\frac {n!}{n^{n}}}$

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Solution

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