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

Mathematics

Problem

Define p(x)={∣x−1∣ x−1 ,x≠1,0,x=1.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 pp at x=1x=1? a) −2-2 b) 11 c) 22 d) 00

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