Identify the limit and substitute the point directly
Check whether the result is an indeterminate form such as 0/0 or ∞/∞
If it is not an indeterminate form, do not use L’Hôpital’s Rule
Differentiate the numerator
Differentiate the denominator
Form the new limit using the derivatives
Evaluate the new limit
If the new limit is still 0/0 or ∞/∞, repeat the process
Stop when the limit is no longer indeterminate or when the limit is found
Verify that the conditions for L’Hôpital’s Rule are satisfied