Provide an appropriate response.
-$$\text { Let } \lim _ { x \rightarrow 3 } f ( x ) = - 5 \text { and } \lim _ { x \rightarrow 3 } g ( x ) = - 7 \text {. Find } \lim _ { x \rightarrow 3 } [ f ( x ) + g ( x ) ] ^ { 2 } \text {. }$$
A) -12
B) 2
C) 74
D) 144

Question

Quizplus · Accepted Answer

By the Sum Rule for limits,$$\lim_{x	o 3}[f(x)+g(x)]^2 = \left[\lim_{x	o 3} (f(x)+g(x))ight]^2 = (-5+(-7))^2 = (-12)^2 = 144.$$

Provide an Appropriate Response A) -12 B) 2 C) 74 D) 144

Provide an Appropriate Response A) -12
B) 2
C) 74
D) 144