Evaluate each of the following limits.
You could evaluate this limit algebraically.
Or you could recognize that this is Ana's Definition of the Derivative.
You should recognize that this is Hanah's Definition of the Derivative.
Deconstruct Hanah's definition.
1. Determine what is
2. Find its derivative. That is the value of the limit.
This is Hana's Definition of the Derivative, evaluated at
This is Ana's Definition of the Derivative, evaluated at
This limit could be rewritten as
What do all of the limits above have in common?
Refer to hints above.