I was just having a trouble with one proof on my assignment.
If the statement from my post were true it would have made my life a heck of a lot easier.
Well, after thinking about this I concluded that this was indeed false.
But it doesn't matter, I figured out how to write my proof using the limit
comparison test.
I am not going to post the question here, I am not sure about my
university's standpoint on asking for help with homework on this forum.
Thanks for the link