Question

How do you find the limit of `x^2e^x` as x approaches `oo`?

Answer 1

`lim_(x rarr oo) x^2e^x rarr oo`

Explanation:

We seek:

`L = lim_(x rarr oo) x^2e^x`

As `x rarr oo` then both `x^2 rarr oo` and `e^x rarr oo`, so then the product `x^2e^x rarr oo`

Thus:

`L = rarr oo`

And the limit does not exist