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# Test the series for convergence or divergence.$\displaystyle \sum_{n = 1}^{\infty} (-1)^{n-1}$ arctan $n$

## Diverges

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Let's test this Siri's for conversions or diversions, so recall that the limit of our ten is five or two. This means that in the limit. So here's our a n This does not exist, sends his end, gets large We'LL have negative one and minus one and then we'LL be getting closer to a pie over too. So this will equal plus or minus pi over too. So this is escalating. So this is why it doesn't exist. So bye, The diversions test sense. Lim is not equal to zero. The Siri's diverges and that's our final answer.

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