Mathematics

Problem

Given that

\displaystyle\lim_{x\to 5} f(x)=7

and

\displaystyle\lim_{x\to 5} g(x)=0

, what can be concluded about

\displaystyle\lim_{x\to 5}\dfrac{f(x)}{g(x)}

? a) The limit equals

0

. b) The limit equals

\infty

. c) The quotient law is not applicable because the denominator limit is

0

(limit cannot be determined). d) The limit does not exist.