Explain why averaging the function values at and generally yields a more reliable…

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

Problem

Explain why averaging the function values at

x=2.99

and

x=3.01

generally yields a more reliable numerical estimate of

\displaystyle\lim_{x\to 3}f(x)

than averaging the values at

x=2.9

and

x=3.1

. State your reasoning in one or two sentences.