JEE Main 20245 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If the function f(x)=sin3x+αsinx−βcos3xx3,x∈Rf(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}, x \in \mathbf{R}f(x)=x3sin3x+αsinx−βcos3x,x∈R, is continuous at x=0x=0x=0, then f(0)f(0)f(0) is equal to :AOption A. 4BOption B. −-−2COption C. −-−4DOption D. 2CheckSkip · show solution
