*Does the sum converge or diverge?

sum of sqrt(n^4+1)/(5n^2) n=1 b=infinity

I actually need help solving this one:) I know that you do the limit comparison test by splitting up An and Bn then dividing them. An is the sum and Bn is sqrt(n^4)/5b^2 but thats all i got:)
@agent0smith

Question

*Does the sum converge or diverge? 

sum of sqrt(n^4+1)/(5n^2) n=1 b=infinity 

I actually need help solving this one:) I know that you do the limit comparison test by splitting up An and Bn then dividing them. An is the sum and Bn is sqrt(n^4)/5b^2 but thats all i got:) 
@agent0smith

agent0smith · Answer

It'd def diverge since as n approaches inf, the highest power on the numerator is n^4, vs n^2 in denominator.

agent0smith · Answer

But i can't prove it right now, brb

megannicole51 · Answer

I have to go to work so ill see ur reply after!

anonymous · Answer

Diverge

megannicole51 · Answer

can you show me how? im studying for my exam

agent0smith · Answer

Limit test will prove the terms approach infinity, which shows the sum must diverge

megannicole51 · Answer

let me work it out and see what i end up with

megannicole51 · Answer

i got 1 wbu

agent0smith · Answer

Wait i missed that it's a square root... sqrt(n^4+1)/(5n^2)

megannicole51 · Answer

well if you take An/Bn you get....(let me draw it)|dw:1381797457078:dw|