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3-120.

Compute the limits below. What do you notice?

$\lim\limits_ { h \rightarrow 0 } \frac { ( 5 + h ) ( 6 + h ) - 30 } { h }$
Hint 1(a):
This is the Definition of the Derivative using Hana's Method:
Hint 2(a):
What is $f(x)$ ? What is a? What is $f^\prime(x)$ ? What is $f^\prime(a)$ ?
Hint 3(a):
For further guidance, refer to the hints in problem 3-64.

$\lim\limits_ { x \rightarrow 4 } \frac { ( x + 1 ) ( x + 2 ) - 30 } { x - 4 }$
Hint 1(b):
This is the Definition of the Derivative using Ana's Method:
Hint 2(b):
What is $f(x)$ ? What is a? What is $f^\prime(x)$ ? What is $f^\prime(a)$ ?
Hint 3(b):
For further guidance, refer to the hints in problem 3-110b.

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