- #1

carlodelmundo

- 133

- 0

## Homework Statement

Hi. I'm having problems with the limit of x --> 1 of ( x / ln(x) ).

## Homework Equations

L'Hopital's Rule

Algebraic Manipulation

## The Attempt at a Solution

I understand that the the limit will give me a semi-indeterminate form (that is, it's answer is 1 / 0).

What I don't understand is how I can manipulate ln (x) so it's not in the denominator. I tried thinking of ways to use e^x.... but realized that multiplying by e^x does nothing. I'm presuming that we can raise both the numerator and the denominator by e^x but was not sure if it was legitimate.

Thanks in advance.