Calculate the following limits:
I know the answer is 0. Can I simply use L'Hopitals?
So, ? Something like that?
2.) Does converge? Justify your answer.
No idea how to justify, but my calculator gives .2788 as an answer so it def does converge.
For the first one, i guess it's correct.
For the second one : if the function in the integral is continuous and the limits at the extremities of the integral are finite, then the integral converges.
In , is continuous.
In 1, the function has a finite value.
Now let's study the limit at
The limit is clearly 0.
So the integral converges.
I hope i didn't miss any point :s