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How do you use the Nth term test on the infinite series $sum_(n=1)^ooarctan(n)$ ?

1 Answer

Sep 27, 2014

Since

$lim_{n to infty}arctan n=pi/2 ne 0$ ,

by Divergence Test (Nth Term Test), we can conclude that

$sum_{n=1}^infty arctan n$ diverges.

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