I'm completely stuck on the limit of sinxcos(1/x) as x goes to 0.

If you are allowed to take the arcsin of epsilon, then I should be fine, but I have a feeling you aren't allowed to do that. Any hints?

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- January 8th 2012, 10:59 AMjsmith90210Epsilon Delta Limit Proof sinxcos(1/x)
I'm completely stuck on the limit of sinxcos(1/x) as x goes to 0.

If you are allowed to take the arcsin of epsilon, then I should be fine, but I have a feeling you aren't allowed to do that. Any hints? - January 8th 2012, 11:35 AMPlatoRe: Epsilon Delta Limit Proof sinxcos(1/x)
- January 8th 2012, 11:45 AMjsmith90210Re: Epsilon Delta Limit Proof sinxcos(1/x)
yes, I can see that, but then I have abs(sinx)<epsilon, i need to get from there to abs(x)<some variation of epsilon and I don't know how to do that

- January 8th 2012, 12:03 PMPlatoRe: Epsilon Delta Limit Proof sinxcos(1/x)