Thread: convergent-divergent question

here is the problem:
an = cos(2/n^2)
Do I divide top and bottom by n^2 to get cos(0) = 1 ?
then it converges but I don't feel confident because I am not sure how to do this one, there is no example in the book to compare to.
Thank you,
Keith

Originally Posted by keith

an = cos(2/n^2)
Do I divide top and bottom by n^2 to get cos(0) = 1 ?

Do you know that ?
If so, then you know that cos(0)=1.
That is simply all there is to it.

Just remember what Plato did works here because cosine is a continous function.

Originally Posted by Plato

Do you know that ?
If so, then you know that cos(0)=1.
That is simply all there is to it.

Thank you, it just seemed too simple an answer, I just thought it was wrong.