Where denotes the greatest integer function

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

Problem

\lim_{x \rightarrow 1}\frac{x \sin(x - [x])}{x - 1}

where

[\cdot]

denotes the greatest integer function, is equal to (a) 0 (b) -1 (c) non-existent (d) none of these