Question

L'Hôpital's rule calculator with steps?

a) Evaluate the limit of the ratio of derivatives of the numerator and denominator.
b) Apply the rule repeatedly until the limit is determined.
c) Simplify the fraction by factoring and canceling common factors.
d) Find the limit of the original function without using L'Hôpital's rule.

Answer 1

L'Hôpital's rule is a method used to evaluate the limit of an indeterminate form 0/0 or ∞/∞ by taking the ratio of the derivatives of the numerator and denominator. This process is repeated until the limit is determined, and the fraction is then simplified by factoring and canceling common factors. The final step is finding the limit of the original function without using L'Hôpital's rule.

Step-by-step explanation:

L'Hôpital's rule is a method used to evaluate the limit of an indeterminate form 0/0 or ∞/∞. Here are the steps to apply L'Hôpital's rule:

Evaluate the limit of the ratio of the derivatives of the numerator and denominator.

If the limit is still indeterminate, apply the rule repeatedly until the limit is determined.

Once the limit is determined, simplify the fraction by factoring and canceling common factors.

Finally, find the limit of the original function without using L'Hôpital's rule.