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July 8th, 2013, 09:21 AM   #1
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limit help required

Can anyone help me with the proof of the following limit please??
limx?1 (C^(1-x)-1) / (1-x) = lnC
Thank you in advance.
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July 8th, 2013, 01:26 PM   #2
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Re: limit help required

Hi, Levon and welcome to the forum. When you have a question, please post it in its own topic. Thanks.

One way to do this problem is with L'Hospital's Rule:


A complete statement of the rule is given here.

A solution with L'Hospital's Rule:

It should be clear that the derivative of the function in the denominator is -1.

calculated as follows,

so we have

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July 9th, 2013, 01:06 PM   #3
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Re: limit help required

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