Determine the exact value of each of the following limits. Note that calculating the exact value requires that the limit be found analytically rather than numerically. Homework Help ✎
Careful! Be sure to check:
For a limit to exist, the limit from the left must agree with the limit from the right.
Recognize that this is Hana's Definition of the Derivative, and find
, or use l'Hôpital's Rule. , which is also an indeterminate form.
Before using l'Hôpital's Rule, you will need to convert the argument into a single fraction that
To evaluate this limit, you will have to use l'Hôpital's Rule twice.
To convert this limit into
form, let .
See the hint in part (a).