MathCastle
CalculusMediumLimits and Continuity

Limits and Continuity · Medium problem

The function f(x)=x2−x−6∣x−3∣f(x)=\dfrac{x^2-x-6}{|x-3|} has a jump discontinuity at x=3x=3. Find lim⁡x→3+f(x)−lim⁡x→3−f(x)\displaystyle\lim_{x\to 3^+}f(x)-\lim_{x\to 3^-}f(x), the size of the jump.