Question

How do you know if a = (((-1)^n)(n^3)) / (n^3+2n^2+1) is going to diverge or converge?

Answer 1

as n->inf?

Answer 2

that -1^n flips around alot....

Answer 3

bit other than that, it looks like it approaches 0....but thats just a guess

Answer 4

divide everything by n^3 that gives you

-1^n
--------
1 + ......

so it looks like it flips between 1 and -1.... might not converge