Yeah, I realized this, and I was unsure when I posted it, but I thought "Hey if I am wrong someone will correct me" and here you did. So what would your solution be?
I am actually kind of stumped without L'hopital's. If it is something easy I am going to kick myself
Actually
So then we have that
If
Now letting
and as
So we have
Which by the root/ratio test trick
we get
this limit is equal to
And since it can be seen that as that
and it can also be said that
So we have that this whole mess above is equivalent to
So now we have
2th post!