$\text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = - 15 \text { and } \lim _ { x \rightarrow c } g ( x ) = - 10 \text {. Find the following limit. }$ $\lim _ { x \rightarrow c } [ f ( x ) g ( x ) ]$
A) 10
B) $- 5$
C) $- 25$
D) $- 15$
E) 150

Question

Quizplus · Accepted Answer

The limit of the product of two functions as $x$ approaches $c$ is the product of their limits. Thus, $\lim _ { x \rightarrow c } [ f ( x ) g ( x ) ] = (-15) \times (-10) = 150.$

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

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