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Homework Statement
Use the limit comparison test to check for convergence or divergence: Sum from n=1 to infinity of ((2n)^2+5)^3
Homework Equations
let lim n to infinity of An/Bn = c
1) if 0<c<infinity then either both converge or both diverge
2) if c=0 and sum Bn converges, so does sum An
3) if c=infinity and sum Bn diverges, so does sum An
The Attempt at a Solution
see attached  I'm a little confused. It seems that it would be easy to pick a comparison series to "force" the answer that you want....
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