Let . Which description best characterizes the discontinuity at…

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

Problem

Let

g(x)=\dfrac{(x-4)(x+5)}{x-4}

. Which description best characterizes the discontinuity at

x=4

? (a)

g

is continuous at

x=4

. (b) Removable (hole) discontinuity at

x=4

. (c) Infinite (vertical asymptote) discontinuity at

x=4

. (d) Jump discontinuity at

x=4