March 28th, 2012, 09:30 PM  #1 
Newbie Joined: Mar 2012 Posts: 1 Thanks: 0  Finding the Limit
I can't seem to get the equation to a point where the denominator doesn't equal to zero when the 4 is sub'd in.? lim (4  x) / ( 5  sqrt(x^2 +9) ) x >4 Alternatively, is there another way to approach this other than subbing the 4? 
March 28th, 2012, 09:55 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: Finding the Limit Since we have the indeterminate for 0/0, we may either use L'Hôpital's rule (which I assume you haven't been given yet) or we may rewrite the expression as follows: So, now we have: 

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