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-1.级数$\sum_{n=1}^{\infty}sin(\sqrt{n^2+1}\pi).$收敛
-A.正确
-B.错误
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-2.级数 $\sum_{n=1}^{\infty} \left( \frac{\sin n}{n^2} + \frac{(-1)^n}{n} \right)$ 的收敛性是：
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-A. 绝对收敛
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-B. 条件收敛
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-C. 发散
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-D. 可能收敛可能发散
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-3.级数$\displaystyle \sum_{n=1}^{\infty} \frac{3^n}{n^2}$  收敛
-A.正确
-B.错误
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-4,级数$\sum_{n=1}^{\infty} \frac{1}{5^n} \cdot \frac{3n^3 + 2n^2}{4n^3 + 1}$  收敛
-A.正确
-B.错误
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-5.级数$\sum_{n=1}^{\infty} \frac{1}{n} \arctan \frac{n}{n+1}$  收敛
-A.正确
-B.错误
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