(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Test the series for convergence or divergence using the Alternating Series test:

1. sum of (-1)^n * n/(ln n)

2. sum of [sin(n*pi/2)]/n!

2. Relevant equations

3. The attempt at a solution

1. lim of n/(ln n) goes to infinity (as n->infinity), so it can't satisfy the Alternating Series test. Then if I take limit of the entire sum, I can't figure out what it comes to. I think the limit doesn't exist so the whole thing is divergent, but I'm not sure how to get it.

2. No clue on this one, it's not in the "proper format" as the examples I've seen.

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Alternating Series Test

**Physics Forums | Science Articles, Homework Help, Discussion**