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Alternating Series Convergence

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Which of the following series converges?

A

∑n=1∞(−1)n(n23n)\sum_{n=1}^{\infty} (-1)^n \left( \frac{n^2}{3\sqrt{n}} \right)

B

∑n=1∞(−1)n(n+12n)\sum_{n=1}^{\infty} (-1)^n \left( \frac{n + 1}{2n} \right)

C

∑n=1∞(−1)n(2nn)\sum_{n=1}^{\infty} (-1)^n \left( \frac{2\sqrt{n}}{n} \right)

D

∑n=1∞(−1)n(1−nn)\sum_{n=1}^{\infty} (-1)^n \left( \frac{1 - n}{n} \right)

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