Define p(x)= cases |x-1| ,x-1 , , & x 1, 0, & x=1

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

Problem

Define

p(x)= \begin{cases} \dfrac{|x-1|}{\,x-1\,}, & x\ne 1,\\ 0, & x=1. \end{cases}

What is the magnitude of the jump discontinuity of

p

x=1

? (a)

-2

(b)

1

(c)

2

(d)

0