Question

Question #cf0d2

Answer 1

`-oo`

Explanation:

Solve each limit separately:
`lim_(x->-oo)[(e^(-x))(x^(-1/3))]`

Transform:
`lim_(x->oo)[(e^(x))(-x^(-1/3))]`
`=-lim_(x->oo)[(e^(x))/(x^(1/3))]`
`=-(oo) =-oo`

The growth of the numerator as `x->oo` is much faster than the denominator and so the limit
is `oo`.