1. ## Limit and Integral

I'm stuck with the following question in my mathbook:

"Compute the following limit"

lim $\displaystyle \int_a^2^a (1/x-1/x^2)\,dx$
a->infinity

I would really appreciate if someone helped me out!

2. ## Re: Limit and Integral

Originally Posted by Zhirkov
I'm stuck with the following question in my mathbook:

"Compute the following limit"

lim $\displaystyle \int_a^2^a (1/x-1/x^2)\,dx$
a->infinity

I would really appreciate if someone helped me out!
Hi Zhirkov!

Do you know how to calculate $\displaystyle \int_a^2^a (1/x-1/x^2)\,dx$?
If so what do you get?
And what if you take the limit to infinity then?