Let f(x)= |x-3| x-3 (x 3)

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

Problem

Let f(x)=∣x−3∣x−3(x≠3),f(3)=0.f(x)=\frac{|x-3|}{x-3}\quad(x\ne 3),\qquad f(3)=0. Calculate: (i) lim⁡x→3−f(x)\displaystyle\lim_{x\to 3^-}f(x), (ii) lim⁡x→3+f(x)\displaystyle\lim_{x\to 3^+}f(x).

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