, where denotes the greatest integer function is equal…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

\lim_{x \rightarrow 0}\left[\frac{\sin(\operatorname{sgn}(x))}{\operatorname{sgn}(x)}\right]

, where

[\cdot]

denotes the greatest integer function is equal to (a) 0 (b) 1 (c) -1 (d) does not exist