March 28th, 2012, 09:15 PM  #1 
Member Joined: Feb 2012 Posts: 42 Thanks: 0  finding the limit (e function)
Hello, regarding finding the limit of this function: e^(5+x)e^5 / x as x tends towards 0 I know the answser is e^5. My question is how would I show the working to solve this problem. All I did was test values closer to zero. Is that all I should show for the working or should I have used a formula or some other procedure ? Thanks 
March 28th, 2012, 09:19 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: finding the limit (e function)
Have you been introduced to L'Hôpital's rule?

March 28th, 2012, 10:29 PM  #3 
Member Joined: Feb 2012 Posts: 42 Thanks: 0  Re: finding the limit (e function)
Oh great, thanks for that. so using l'Hopital's rule: e^(5+h)e^5 / 1 = 0/1 = limit of 0 
March 29th, 2012, 04:28 AM  #4  
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: finding the limit (e function) Quote:
 

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