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December 7th, 2014, 06:51 PM   #1
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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.
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December 7th, 2014, 07:00 PM   #2
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In order for the limit to exist, the limit of f(x) as x approaches 2 must equal 5.
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Last edited by greg1313; December 9th, 2014 at 07:37 AM.
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December 7th, 2014, 08:02 PM   #3
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Thanks for the help.
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