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

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

Problem

Let

f

be defined by

f(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x\neq 1,\\ 3, & x=1.\end{cases}

Determine the type of discontinuity of

f

x=1

(removable, jump, or infinite).