A student graphs a function in the viewing window and

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

Problem

A student graphs a function ff in the viewing window −100≤x≤100-100\le x\le100 and −1≤y≤1-1\le y\le1. Near x=0x=0, the curve appears to coincide with the xx-axis. In one sentence, explain why this observation alone is insufficient to conclude that lim⁡x→0f(x)=0\displaystyle \lim_{x\to0}f(x)=0.

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