JEE Main 20199 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002For each x∈\in∈R, let [x] be the greatest integer less than or equal to x. Then limx→0− x([x]+∣x∣)sin[x]∣x∣\mathop {\lim }\limits_{x \to {0^ - }} \,\,{{x\left( {\left[ x \right] + \left| x \right|} \right)\sin \left[ x \right]} \over {\left| x \right|}}x→0−lim∣x∣x([x]+∣x∣)sin[x] is equal to :AOption A. −-− sin 1BOption B. 1COption C. sin 1DOption D. 0CheckSkip · show solution
