_ x 0 m x x where and denotes the greatest integer function

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

Problem

lim⁡x→0⌊msin⁡xx⌋\lim_{x\to0}\left\lfloor m\frac{\sin x}{x}\right\rfloor where m∈Zm\in\mathbb{Z} and ⌊⋅⌋\lfloor\cdot\rfloor denotes the greatest integer function, is equal to (1) mm, if m<0m<0 (2) m−1m-1, if m>0m>0 (3) m−1m-1, if m<0m<0 (4) mm, if m>0m>0

Related theory

Browse the problem library