State the condition on the denominator under which _ x a p(x) q(x) = p

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

State the condition on the denominator

q(x)

under which

\lim_{x\to a}\frac{p(x)}{q(x)}=\frac{p(a)}{q(a)}

for a rational function

\dfrac{p(x)}{q(x)}