$\text { Suppose that } \lim _ { x \rightarrow c } f ( x ) = 7 \text { and } \lim _ { x \rightarrow c } g ( x ) = 3 \text {. Find the following limit. }$ $\lim _ { x \rightarrow c } \frac { f ( x ) } { g ( x ) }$
A) 21
B) $\frac { 3 } { 7 }$
C) $- 21$
D) $\frac { 7 } { 3 }$
E) does not exist

Question

Quizplus · Accepted Answer

By the quotient rule of limits, 
$$\lim_{x	o c}\frac{f(x)}{g(x)}=\frac{\lim_{x	o c}f(x)}{\lim_{x	o c}g(x)}=\frac{7}{3}$$

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

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