March 11th, 2012, 01:35 PM  #1 
Member Joined: Jan 2012 Posts: 63 Thanks: 0  find the limit
how to show that lim(x>0) ((1+x/2)log(1+x)x)/(x^3) exists? i don't know how to begin cause both the numerator and denominator are 0 when x =0 
March 11th, 2012, 01:41 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 463 Math Focus: Calculus/ODEs  Re: find the limit
Have you been given L'Hôpital's rule? Also, is the base of the log function e or 10?

March 11th, 2012, 05:13 PM  #3  
Member Joined: Jan 2012 Posts: 63 Thanks: 0  Re: find the limit Quote:
 
March 11th, 2012, 06:49 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 463 Math Focus: Calculus/ODEs  Re: find the limit
You're going to want to use the ?? definition of a limit.


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