jee-main 2012 Q72

jee-main · India · 07may Small angle approximation
$\lim _ { x \rightarrow 0 } \left( \frac { x - \sin x } { x } \right) \sin \left( \frac { 1 } { x } \right)$
(1) equals 1
(2) equals 0
(3) does not exist
(4) equals $-1$
$\lim _ { x \rightarrow 0 } \left( \frac { x - \sin x } { x } \right) \sin \left( \frac { 1 } { x } \right)$\\
(1) equals 1\\
(2) equals 0\\
(3) does not exist\\
(4) equals $-1$