$\text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = - 11 \text { and } \lim _ { x \rightarrow c } g ( x ) = - 3 \text {. Find the following limit. }$ $\lim _ { x \rightarrow c } [ f ( x ) - g ( x ) ]$
A) $- 11$
B) $- 8$
C) 33
D) $- 14$
E) 0

Question

Quizplus · Accepted Answer

The limit of the difference is the difference of the limits, so $\lim _ { x \rightarrow c } [ f ( x ) - g ( x ) ] = \lim _ { x \rightarrow c } f ( x ) - \lim _ { x \rightarrow c } g ( x ) = -11 - (-3) = -8.$

lim⁡x→c[f(x)−g(x)]\lim _ { x \rightarrow c } [ f ( x ) - g ( x ) ]limx→c​[f(x)−g(x)]

$\lim _ { x \rightarrow c } [ f ( x ) - g ( x ) ]$