Hello All: I have been having a hard time with some homework problems, 5/20 can't be done by me, so I was hoping y'all could help! (Split up due to rules)
#1) Sum (n=1 to Infinity) of ((2n+1)^n)/(n^2n)
I thought I should separate it into ((2n+1)/n)^n) * 1/n, but I wasn't sure whether you can do this. I would us the root test to get find the limit of the first part is 2 > 1 = divergent, but I don't think this makes any sense.
#2) Sum (n=1 to Infinity) of SQRT(n^2-1)/(n^3+2n^2+5).