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Alternating Series Convergence Properties

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Consider the series ∑n=1∞(−1)nn+ln⁡(n)\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

I only\text{I only}

B

I and II only\text{I and II only}

C

I and III only\text{I and III only}

D

II and III only\text{II and III only}

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