### Home > APCALC > Chapter 3 > Lesson 3.3.3 > Problem3-120

3-120.

Compute the limits below. What do you notice? Homework Help ✎

1. $\lim\limits _ { h \rightarrow 0 } \large\frac { ( 5 + h ) ( 6 + h ) - 30 } { h }$

This is the Definition of the Derivative using Hana's Method:

$f'(x)=\lim\limits_{h\rightarrow 0}\frac{f(a+h)-f(a)}{h}$

What is $f(x)$? What is a? What is $f^\prime (x)$? What is $f^\prime(a)$?

For further guidance, refer to the hints in problem 3-64.

1. $\lim\limits _ { x \rightarrow 4 } \large\frac { ( x + 1 ) ( x + 2 ) - 30 } { x - 4 }$

This is the Definition of the Derivative using Ana's Method:

$f'(x)=\lim\limits_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}$

What is $f(x)$? What is a? What is $f^\prime(x)$? What is $f^\prime(a)$?

For further guidance, refer to the hints in problem 3-110b.