Question

why can't i use a direct comparison test for n^2/((n^2) + 5))? why does it have to be a limit comparison?

Answer 1

Are you talking about n^2/(n^2+5) as the terms of a series?

Answer 2

yes

Answer 3

Hmmm, what is a limit comparison? But i do know that there isn't anything wrong with doing a direct comparison... there just isn't a reason (if the comparison is valid).