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n^3 would converge

what test would you use to prove it?

p test

I am assuming it is from 1 to infinity

Yes, it would be converge

yep! I just don't know how to prove it with a test

http://mathforum.org/library/drmath/view/74703.html

start with just 1/n^3

could you use the comparison test?

yes,
1/n^3 always converge

cos (x)<1