Question

Use l'hôpital's rule to rewrite the given limit so that it is not an indeterminate form.

Answer 1

L'Hôpital's Rule is used to evaluate limits of the form 0/0 or ∞/∞. To apply the rule, differentiate the numerator and denominator of the given function separately. If the resulting limit is still indeterminate, repeat the process until a non-indeterminate form is obtained.

Step-by-step explanation:

L'Hôpital's Rule is used to evaluate a limit of the form 0/0 or ∞/∞. To apply the rule, we differentiate the numerator and denominator of the given function separately. If the resulting limit still gives an indeterminate form, we repeat the process until we find a limit that is not an indeterminate form.

Step-by-step process:

1. Differentiate the numerator and denominator of the given function separately.
2. Take the limit as x approaches the desired value.
3. If the resulting limit is still an indeterminate form, differentiate again and repeat the process until a non-indeterminate form is obtained.