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Alternating Series Convergence Properties
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Consider the series $$\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^n}{n + \ln(n)}$$. Which of the following statements about the series are true?

I. The series converges by the Alternating Series Test.

II. The series converges absolutely.

III. The series is conditionally convergent.

A

$$\text{I only}$$

B

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

C

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

D

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

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