Does the alternating series ∑n=1∞(−1)n+1n\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{\sqrt{n}}∑n=1∞n(−1)n+1 converge by the alternating series test?
Yes, it converges
No, it diverges
Only if n>1n > 1n>1
Cannot be determined without additional tests