# What is the interval of convergence of #sum_1^oo xsin((pi*n)/2)/n #?

Is it a power series regarding

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The interval of convergence for the series (\sum_{n=1}^{\infty} \frac{x \sin\left(\frac{\pi n}{2}\right)}{n}) is ([-1, 1]).

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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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