Determine convergence or divergence:
(a) ∑ n = 1 ∞ ( − 1 ) n 1 n {\displaystyle \sum _{n=1}^{\infty }(-1)^{n}{\sqrt {\frac {1}{n}}}}
(b) ∑ n = 1 ∞ ( − 2 ) n n ! n n {\displaystyle \sum _{n=1}^{\infty }(-2)^{n}{\frac {n!}{n^{n}}}}
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