- #1

- 81

- 2

The question asks whether this function diverges or converges.

I have tried to do some comparisons with x^2/(x^6+1), and x^2/(x^3+1) but it didn't end up with something good.

Then I decided to compare it with [tex] \frac{x^2}{x^4+1}[/tex]

Since this function converges and is greater than the given function on [tex](1,\infty )[/tex] it proves that the given function converges too. But it almost takes one page to integrate this function so I thought there must be an easier way to handle this. What other function can I think of rather than this?