Conditional Convergence of an Alternating Series
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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