A function p is defined for x near 3

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

Problem

A function p is defined for x near 3, and selected values are given below. x 2.90 2.99 2.999 3.001 3.01 3.10 p(x) 7.1 7.01 7.001 2.999 2.99 2.9 Does lim⁡x→3p(x)\displaystyle \lim_{x\to3} p(x) exist? If so, state its value; if not, give a brief numerical justification based on the table.

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