Thread: determine whether the sequence converrger or diverges

Here is the problem:
an = n/(1+sqrt(n))
I divided top and bottom by n
then had 1 in the numerator
and 1/n + 1/n^(1/2) in the denominator
could I think about this like it is 1/0 ?
because there is still an n in the denominator
so the sequences diverges, is this correct?
The problems with n^2 or n seem so easy but this one where it is sqrt(n) or N^(1/2) gives me trouble.

Thank you,
Keith

Hello, Keith!

Divide top and bottom by .**

We have: .


Then: . . . . diverges


~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


**

Divide through by the highest power of the variable in the denominator.