My Math Forum Very Stumped on This Limit Problem

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 June 4th, 2012, 03:52 PM #1 Senior Member   Joined: Jan 2012 Posts: 159 Thanks: 0 Very Stumped on This Limit Problem
 June 4th, 2012, 06:32 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: Very Stumped on This Limit Problem The definition of $g(x)$ is a limit having the indeterminate form 0/0, so use of L'Hôpital's rule allows us to write: $g(x)=f(x)-x\cdot f#39;(x)$ hence: $g(2)=f(2)-2\cdot f#39;(2)=5-2\cdot3=-1$
 June 4th, 2012, 06:51 PM #3 Senior Member   Joined: Jan 2012 Posts: 159 Thanks: 0 Re: Very Stumped on This Limit Problem We can't use L'Hôpital's rule yet as we have yet to learn. The teacher just emailed us a hint: write t f(2) - 2f(t) as t f(2) - 2 f(2) + 2 f(2) - 2 f(t) working on it now.
 June 4th, 2012, 06:57 PM #4 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: Very Stumped on This Limit Problem Oops, I guess my help on another of your topics will have to be reworked! The hint your teacher gave will get you to the same place. Let me know if you need help seeing how this is so.
 June 4th, 2012, 06:58 PM #5 Senior Member   Joined: Jan 2012 Posts: 159 Thanks: 0 Re: Very Stumped on This Limit Problem haha no problem

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