My Math Forum prove this limit equals 0

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 October 5th, 2013, 01:22 AM #1 Member   Joined: Aug 2013 Posts: 69 Thanks: 0 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,
 October 5th, 2013, 01:34 AM #2 Member   Joined: Aug 2013 Posts: 69 Thanks: 0 Re: prove this limit equals 0 are their any analogous equations? if so, please post so i can try.
 October 5th, 2013, 08:44 AM #3 Senior Member   Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116 Re: prove this limit equals 0 You could use the fact that -1 <= sinx <= 1 to squeeze your limit.

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