Test the following Series for Convergence (absolute or conditional) or divergence(adsbygoogle = window.adsbygoogle || []).push({});

∑ (-1)^(n)/ (1+1/n)^(n^2)

I know we solve it with the root test but i reached at a point where i don't know how to cancel it out

----

lim(n--> infinity)= 1/(1+1/n+1)^(n+1^2) *[ (1+1/n)^(n^2)]/1

What do i do after this?

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

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

# Homework Help: Test the following Series for Convergence (absolute or conditional) or divergence

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