The function is defined as

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

Problem

The function hh is defined as h(x)={1x−1,x≠10,x=1h(x)=\begin{cases}\dfrac{1}{x-1},&x\neq1\\0,&x=1\end{cases}. Which option correctly describes hh at x=1x=1? (a) Removable discontinuity at x=1x=1 (b) Jump discontinuity at x=1x=1 (c) Infinite discontinuity at x=1x=1 (d) Continuous at x=1x=1

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