Question

does the series converge or diverge?

sqrt(n^4+1)/5n^2 n=1 to infinity

@agent0smith

I am going to do 3 more problems then leave for my exam and this one I have no idea about because of the sqrt!!!

Answer 1

It'll likely diverge... limit test would show that as n approaches infinity, it's going to look like n^2/5n^2 = 1/5

Answer 2

awesome thank you:))

Answer 3

And that means you're adding 1/5 endlessly, so divergent