Show that by finding

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

Problem

Show that

\displaystyle\lim_{x\to\infty}\dfrac{1}{x^{3}}=0

by finding, for an arbitrary

\varepsilon>0

, a value of

M

(in terms of

\varepsilon

) that satisfies the ε–M condition.