- #1

- 775

- 1

## Homework Statement

Been trying to evaluate this rather annoying limit for the past few minutes.

[tex] \lim_{t→∞}\frac{t-\frac{1}{ln(t)}}{(ln(t))e^{at-\frac{t}{ln(t))}}} [/tex]

## Homework Equations

## The Attempt at a Solution

I tried L'Hopital's rule but it seems to become only more messy. I was curious if there was any "quick" way to this problem? It's been a while since I took calculus, and I'm using this as part of a Laplace transform I'm trying to do.

BiP