but only if you show that
Ok, here is a really really easy one.
EDIT: oops...a typo
There are a couple of ways to do this.
The smart*** way would be that since
we have that
This can be shown by the limit
this was gotten from the fact that if
The other answer that is better in my opinion would be the use of the ratio/root test trick
Now by termwise division with
If anyone sees a problem with any of my solutions let me know
Well, my first answer is the same as yours, I just didn't show the details. And if you don't want to evaluate the limit using , use the L'hopital solution.. =)
EDIT:(sorry, I am making these up as we go) Tis is another easy one, if someone would like to post another one I would be more than happy to give up the posting position
Find the smallest integer such that