### Home > CALC > Chapter Ch3 > Lesson 3.3.3 > Problem 3-119

3-119.

Compare the limit statements below. What do you notice? Homework Help ✎

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

Evaluate these limits using any method you choose.

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 *f*(*x*) = (*x* + 1)(*x* + 2).

Once *f*(*x*) is determined, both can be evaluated using the Power rule, avoiding lengthy Algebraic manipulation.

i. Refer to hints in problem 3-64.

ii. Refer to hints in problem 3-92.