JEE Main 2017Session, Shift 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002limx→π2cotx−cosx(π−2x)3\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\cot x - \cos x} \over {{{\left( {\pi - 2x} \right)}^3}}}x→2πlim(π−2x)3cotx−cosx equalsAOption A. 116{1 \over {16}}161BOption B. 18{1 \over 8}81COption C. 14{1 \over {4}}41DOption D. 124{1 \over {24}}241CheckSkip · show solution
