009C Sample Final 3, Problem 4

Determine if the following series converges or diverges. Please give your reason(s).

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

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

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