Question

Let f (x) = x²e² the value of = lim [ƒ (x)]* i 1-lim is: 4x-

a)
b) 1
c) 0
d) 1 4e

Answer 1

d) 1/(4e)

Explanation:

You want the value of the limit of 1/4f(x)^(1/x) as x approaches -1, where f(x) = x^2·e^(x^2).

Limit

The function is continuous and defined at x=-1, so the limit can be evaluated directly.

`\lim=(1)/(4)((-1)^2\cdot e^((-1)^2))^((1/-1))=(1)/(4)(1\cdot e^1)^(-1)=\boxed{(1)/(4e)}`