The function t is evaluated at positive x–values approaching 0

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

Problem

The function t is evaluated at positive x–values approaching 0, as shown. x 0.20 0.10 0.05 0.025 0.0125 t(x) 1.2 –1.2 1.2 –1.2 1.2 Using the numerical evidence, provide a concise argument that lim⁡x→0+t(x)\displaystyle \lim_{x\to0^{+}} t(x) does not exist.

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