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October 5th, 2013, 02:22 AM   #1
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prove this limit equals 0

Hi, Im sure this one has come up before

how are people thinking proving this?

lim x->0^+ sqrt(x) * e^sin(pi/x) = 0

using the squeeze thereom.

Sin(pi/x) DNE,
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October 5th, 2013, 02:34 AM   #2
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Re: prove this limit equals 0

are their any analogous equations? if so, please post so i can try.
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October 5th, 2013, 09:44 AM   #3
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Re: prove this limit equals 0

You could use the fact that -1 <= sinx <= 1 to squeeze your limit.
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