here's the problem:

Find the limit of lim (e^t)-1 / t^3

t-->0

I thought to use L'Hopital's Rule 3 times to get lim e^t / 6

t-->0

Then it would no longer be indeterminate (0/0) and I would have 1/6 as my answer.

But my book says the answer is infinity.

What did I do wrong?