- #1
rjs123
- 90
- 0
Homework Statement
Determine if the following converge:
a. (∞,n=1) ∑ (1+1/n)^n
b. (∞,n=1) ∑ sin(n)/(n^2 + √n)
c. (∞,n=3) ∑ 1/(k ln^2 k)
The Attempt at a Solution
a. I tried the root test, but it failed, so i immediately went to the limit divergence test...ended up getting 1^inf...not sure what to do next...possibly p-test?
b. Ended up doing a direct comparison test...convergence...p>1
c. tried limit divergence test...got 0...stuck on what other test to do...maybe ratio test?