Consider . Determine whether exists, and briefly state the specific reason for your…

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

Problem

Consider

g(x)=\sin\!\bigl(\tfrac{1}{x}\bigr)

. Determine whether

\displaystyle \lim_{x\to 0} g(x)

exists, and briefly state the specific reason for your conclusion.