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artcher [175]
4 years ago
10

Does arctan(5n) converge or diverge?

Mathematics
1 answer:
Travka [436]4 years ago
3 0
If you mean, "does the sequence a_n=\arctan(5n) converge", then yes, since \lim\limits_{n\to\infty}\arctan n=\dfrac\pi2.

If you mean, "does the series \sum\limits_n\arctan(5n) converge", then no, for the reason above (the summand passes the nth limit test for divergence, so the series diverges).
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