Which type of discontinuity is encountered at for the rational function if and are…

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

Problem

Which type of discontinuity is encountered at

x=a

for the rational function

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

p

and

q

are polynomials,

q(a)=0

, and

p(a)\neq0

? (a) Jump discontinuity (b) Infinite discontinuity (c) The function is continuous (d) Removable discontinuity