A function satisfies ,

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

Problem

A function pp satisfies p(3)=7p(3)=7, (limit of p(x) as x→3−)=2\bigl(\text{limit of }p(x) \text{ as } x\to3^{-}\bigr)=2, and (limit of p(x) as x→3+)=2\bigl(\text{limit of }p(x) \text{ as } x\to3^{+}\bigr)=2. Identify the type of discontinuity at x=3x=3 and briefly explain your reasoning.

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