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Limits Continuity and Differentiability question

2024 · 5 Apr · Shift 1 · Q44

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 5 Apr · Shift 1 · Q44

Limits Continuity and Differentiability question

2024 · 5 Apr · Shift 1 · Q44

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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 :

A
4
B
$-$ 2
C
$-$ 4
D
2

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