Question

Use the Divergence test to determine whether the sum of the following series k^2/(2^k) [1,infinity]; sqrtk/(lnk)^10 [1,infinity] ; and sqrt(k^2+1)/k [1,infinity] diverge.

Answer 1

use ratio test ...

Answer 2

normally i would but the question specifically asks to use the divergence test

Answer 3

first one converges