Is the following series convergent – math.stackexchange.com

Is the following series convergent – math.stackexchange.com

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Is the following series convergent? $$\sum_{n=2}^{\infty}\frac{(-1)^n}{\sqrt n+(-1)^n}$$ I think, the above series is divergent, since $$\sum_{n=2}^{\infty}\frac{(-1)^n}{\sqrt ...

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