The function is defined piece-wise by g(x)= cases 3x+1,& x1

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

Problem

The function

g

is defined piece-wise by

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

Classify the discontinuity of

g

x=1

(removable, jump, or infinite).