# Thread: Convergence and divergence

1. ## Convergence and divergence

Hello. This a hard exercise.
I really need your help.

Revise the convergence or divergence of the following integral:

$
I = \int_0^\infty x^k \frac{x+senx}{x-senx}dx
$

According to the values of $k \in{\mathbb{R}}$

Thanks

2. Help please

3. Do you know how to properly evaluate an improper integral?
That is what you have right there.