My notes so far:Use the epsilon/delta definition to find and prove the limit:
, .
We have . So
.
That last inequality is because
.
But I don't seem to be getting anywhere with that. I've also looked at the Cauchy-Schwarz inequality, but that doesn't offer me any obvious (to me) help.
Any ideas? Tricks? A complete solution? This isn't supposed to be a difficult problem, but it's the first of its kind which I have attempted!
Thanks in advance!
EDIT: I solved it on my own. Let