- #1

bobby2k

- 127

- 2

## Homework Statement

Find the limit:

[itex]lim_{x -> \infty}[n*(x^{\frac{1}{n}}-1)-ln(x)][/itex], for any n.

## Homework Equations

L'Hopitals rule.

## The Attempt at a Solution

I know that the ratio of the first expression over the last goes to zero, by L'Hopital, but unfortunately I now have a difference and not a quotient. Is it possible to transform it in some way to use L'Hopital?