jee-main 2025 Q72

jee-main · India · session2_03apr_shift1 Chain Rule Continuity Conditions via Composition
Q72. If the function $f ( x ) = \frac { \sin 3 x + \alpha \sin x - \beta \cos 3 x } { x ^ { 3 } } , x \in \mathbf { R }$, is continuous at $x = 0$, then $f ( 0 )$ is equal to :
(1) 2
(2) - 2
(3) 4
(4) - 4
Q72. If the function $f ( x ) = \frac { \sin 3 x + \alpha \sin x - \beta \cos 3 x } { x ^ { 3 } } , x \in \mathbf { R }$, is continuous at $x = 0$, then $f ( 0 )$ is equal to :\\
(1) 2\\
(2) - 2\\
(3) 4\\
(4) - 4