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Conditional Convergence of an Alternating Series
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For which of the following values of $$p$$ is the series $$\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^n}{n^p + 5}$$ conditionally convergent?

I. $$p = \frac{1}{2}$$

II. $$p = 1$$

III. $$p = \frac{3}{2}$$

A

$$\text{I and II only}$$

B

$$\text{None of the values}$$

C

$$\text{I and III only}$$

D

$$\text{II and III only}$$

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