# Laplace Growth restriction

## Homework Statement

The condition to be satisfied for a Laplace transform is U(t)<Mekt

## Homework Equations

I am trying to proove that et2 does not satisfy this

## The Attempt at a Solution

It was suggested that we try taking logarithms of both side:
t2<ln(Mekt)
t2<lnM+lnekt
t2<lnM+kt
t2-kt<ln M

I dont think this shows anything?!