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 December 7th, 2014, 06:51 PM #1 Math Team   Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 Confusing limits question I was looking through a text book and found this question: Given that$$\lim_{x\to2}\,\dfrac{f(x) - 5}{x - 2} = 3$$ Find$$\lim_{x\to2}\,f(x)$$ I'm sure I'm missing something obvious here. I've tried looking at it as a derivative statement, but there is nothing to suggest that $f$ is differentiable at $x = 2$. I need someone else's view on this question.
 December 7th, 2014, 07:00 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond In order for the limit to exist, the limit of f(x) as x approaches 2 must equal 5. Thanks from topsquark and Azzajazz Last edited by greg1313; December 9th, 2014 at 07:37 AM.
 December 7th, 2014, 08:02 PM #3 Math Team   Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 Thanks for the help. Thanks from greg1313

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