jee-main 2021 Q67

jee-main · India · session4_31aug_shift1 Chain Rule Limit Evaluation Involving Composition or Substitution
$\lim _ { x \rightarrow 0 } \frac { \sin ^ { 2 } \left( \pi \cos ^ { 4 } x \right) } { x ^ { 4 } }$ is equal to :
(1) $2 \pi ^ { 2 }$
(2) $\pi ^ { 2 }$
(3) $4 \pi ^ { 2 }$
(4) $4 \pi$
$\lim _ { x \rightarrow 0 } \frac { \sin ^ { 2 } \left( \pi \cos ^ { 4 } x \right) } { x ^ { 4 } }$ is equal to :\\
(1) $2 \pi ^ { 2 }$\\
(2) $\pi ^ { 2 }$\\
(3) $4 \pi ^ { 2 }$\\
(4) $4 \pi$