Suppose that $f$ and $g$ are functions with $\lim _ { x \rightarrow 3 } f ( x ) = 4 , \lim _ { x \rightarrow 3 } g ( x ) = 6$ Find $\lim _ { x \rightarrow 3 } \frac { 2 - f ( x ) } { g ( x ) }$
A) 1/3
B) 3
C) -3
D) -1/3

Question

Quizplus · Accepted Answer

The limit of a quotient is the quotient of the limits, provided the limit of the denominator is not zero. Here, $\lim _ { x \rightarrow 3 } \frac { 2 - f ( x ) } { g ( x ) } = \frac { 2 - 4 } { 6 } = \frac { -2 } { 6 } = -\frac { 1 } { 3 }$.

Suppose That fff And ggg Are Functions With lim⁡x→3f(x)=4,lim⁡x→3g(x)=6\lim _ { x \rightarrow 3 } f ( x ) = 4 , \lim _ { x \rightarrow 3 } g ( x ) = 6limx→3​f(x)=4,limx→3​g(x)=6

Suppose That $f$ And $g$ Are Functions With $\lim _ { x \rightarrow 3 } f ( x ) = 4 , \lim _ { x \rightarrow 3 } g ( x ) = 6$