Question

How to Find Limit as x Approaches Infinity

A: L'Hôpital's Rule |
B: Squeeze Theorem |
C: Infinity Form |
D: Dominance Rule

Answer 1

To find the limit as x approaches infinity, you can use L'Hôpital's Rule. This rule states that if the limit is an indeterminate form, such as 0/0 or infinity/infinity, you can take the derivative of the numerator and denominator and then evaluate the limit again.

Step-by-step explanation:

To find the limit as x approaches infinity, we can use L'Hôpital's Rule. L'Hôpital's Rule states that if we have an indeterminate form, such as 0/0 or infinity/infinity, we can take the derivative of the numerator and denominator and then evaluate the limit again.

1. Compute the derivative of the numerator and the denominator separately.
2. Take the limit as x approaches infinity of the ratio of the derivative of the numerator and the derivative of the denominator.
3. If the limit still results in an indeterminate form, repeat steps 1-2 until you obtain a definite value or determine that the limit does not exist.