# Limit and Integral

• February 18th 2013, 02:56 PM
Zhirkov
Limit and Integral
I'm stuck with the following question in my mathbook:

"Compute the following limit"

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

I would really appreciate if someone helped me out! :)
• February 18th 2013, 03:00 PM
ILikeSerena
Re: Limit and Integral
Quote:

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

"Compute the following limit"

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

I would really appreciate if someone helped me out! :)

Hi Zhirkov! :)

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