Question

What is the limit of `(e^t - 1) / t^3` as t approaches 0?

Answer 1

graph{(e^x-1)/x^3 [-6.79, 13.21, -1.48, 8.52]}

`lim_(t->0)(e^t-1)/t^3=+oo`

Explanation:

`lim_(t->0)(e^t-1)/t^3=lim_(t->0)e^t/(3t^2)=+oo`