Question

Evaluate the limit as x goes to infinity of x^3e^-x/5

Answer 1

Answer: 0

Explanation:

`(x^(3)e^(-x))/(5)`

This could be written as

`(x^(3) )/(5e^(-x) )`

Applying L'H rule and differentiating 3 times , we have

`(6)/(5e^(x) )`

taking the limit as x goes to infinity , we have

0