Define . Identify every real number at which is discontinuous, and specify whether…

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

Problem

Define

q(x)=\dfrac{\lfloor x\rfloor}{x-1}

. Identify every real number at which

q

is discontinuous, and specify whether each discontinuity is a jump discontinuity or an infinite discontinuity.