# How do you test the series #sum_(n=1)^(oo) sin^2n/n^2# for convergence?

To test the series (\sum_{n=1}^{\infty} \frac{\sin^2(n)}{n^2}) for convergence, you can use the Limit Comparison Test or the Comparison Test.

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Converges.

Recall the series

By the p-series test, we know that it converges.

Hopefully this helps!

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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