Let be defined by f(x)= cases 3x+1,& x<2 x^ 2 -1,& x 2

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

Problem

Let

f

be defined by

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

Determine

\displaystyle\lim_{x\to2}f(x)

, or state that the limit does not exist.