When stating the set of -values for which a Taylor polynomial meets a prescribed…
MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
When stating the set of x-values for which a Taylor polynomial meets a prescribed error tolerance, some authors write ∣x−a∣<R while others write ∣x−a∣≤R. In one or two sentences, explain which form is mathematically safer and briefly justify your choice.