jee-main 2022 Q66

jee-main · India · session1_26jun_shift2 Chain Rule Limit Evaluation Involving Composition or Substitution
$\lim _ { x \rightarrow 0 } \frac { \cos ( \sin x ) - \cos x } { x ^ { 4 } }$ is equal to
(1) $\frac { 1 } { 3 }$
(2) $\frac { 1 } { 6 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 1 } { 12 }$
$\lim _ { x \rightarrow 0 } \frac { \cos ( \sin x ) - \cos x } { x ^ { 4 } }$ is equal to\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 1 } { 6 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 1 } { 12 }$