Given that and

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

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.