### Home > CALC > Chapter 3 > Lesson 3.3.3 > Problem 3-119

3-119.

Compare the limit statements below. What do you notice?

What do they have in common? How are they different?

Your answer should include many observations, including:

They are both Defintions of the Derivative.

i. uses Hana's Method.

ii. uses Hanah's Method.In both cases, the function that is being differentiated is

.Once

is determined, both can be evaluated using the Power rule, avoiding lengthy Algebraic manipulation.Evaluate these limits using any method you choose.

i. Refer to hints in problem 3-64.

ii. Refer to hints in problem 3-92.