Evaluate the limit below by first obtaining a suitable bound.

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate the limit below by first obtaining a suitable bound. (i) Establish an inequality that bounds

\dfrac{\sin 4x}{x}

for

x>0

. (ii) Hence, find

\displaystyle\lim_{x\to\infty}\dfrac{\sin 4x}{x}