Alternating Series Test: Determine if the Alternating Series Test applies; if so, test the series for convergence/divergence. (a)
\sum_(n=1)^(\infty ) (-1)^(n)(\sqrt(n+1)-\sqrt(n))
(b)
\sum_(n=1)^(\infty ) (2(-1)^(n+1)n)/(\sqrt(n^(2)+n))

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Alternating Series Test: Determine if the Alternating Series Test applies; if so, test the series for convergence/divergence. (a)

\sum_(n=1)^(\infty ) (-1)^(n)(\sqrt(n+1)-\sqrt(n))

(b)

\sum_(n=1)^(\infty ) (2(-1)^(n+1)n)/(\sqrt(n^(2)+n))

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