October 5th, 2013, 02:22 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, 02:34 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, 09:44 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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