Use the epsilon/delta definition to find and prove the limit:

, .My notes so far:

We have . So

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That last inequality is because

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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