Let be defined by Find the type of discontinuity of at .

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

Problem

Let

f

be defined by

\displaystyle f(x)=\begin{cases}\dfrac{x^2-9}{x-3}, & x\neq 3,\\[4pt]7, & x=3.\end{cases}

Find the type of discontinuity of

f

x=3

. (a) Jump discontinuity (b) Infinite discontinuity (c) Removable discontinuity (d) No discontinuity