Question

Evaluate the limit as x goes to infinity of the product of x cubed and e raised to the power of negative x over 5

Answer 1

0

Explanation:

Rewrite the limit, and you can see that the denominator ends up having a variable as its degree. This means that it's much "powerful" that the degree of the numerator (3). Therefore, as you plug in really really big values, you see that it is basically zero.