L' Hopital's Rule for non fraction.

**jjtjp** · April 6th 2013, 05:46 PM

The problems states, Evaluate the limit using L'Hopital's rule:
$\lim_{x \to \0}(1-5x)^{\frac{1}{x}}$

Can someone walk me through how to make this into a fraction so that I can attempt the rule? Thanks!

**hollywood** · April 6th 2013, 10:05 PM

You take the logarithm: find $\lim_{x\to{0}}}\ln\left((1-5x)^{\frac{1}{x}}\right)=\lim_{x\to{0}}}\frac{\ln( 1-5x)}{x}$ and if the answer is L, the answer to the original problem is $e^L$ .

- Hollywood

Math Help - L' Hopital's Rule for non fraction.

LinkBack

Thread Tools

Display

L' Hopital's Rule for non fraction.

Re: L' Hopital's Rule for non fraction.

Similar Math Help Forum Discussions

l'Hôpital's rule

L'Hopital's Rule Help

Help with L'Hopital's Rule?

L'Hopital's Rule

L'hopital's Rule.

Search Tags