For the function f(x)= cases 3x,& x2

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

Problem

For the function

f(x)=\begin{cases}3x,& x<2,\\5,& x=2,\\x+1,& x>2,\end{cases}

identify the type of discontinuity at

x=2

and give a brief reason for your answer.