Let f(x)= cases x+4, & x2

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

Problem

Let

f(x)=\begin{cases} x+4, & x<2,\\ 3, & x=2,\\ x^{2}-1, & x>2. \end{cases}

Identify the type of discontinuity of

f

x=2

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

x=2

)