Is $\sum_{i=1}^{\infty}\arctan (\frac{n+1}{n^2+5})$ convergent or divergent? 

Is the infinite series
$$\sum_{i=1}^{\infty}\arctan (\frac{n+1}{n^2+5})$$ convergent or divergent?


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Erdos Erdos
The answer is accepted.
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