JEE Mains · Maths · STD 12 - 5. continuity and differentiation
If the function \(f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}\), \(x \in R\), is continuous at \(x=0\), then \(f(0)\) is equal to :
- A \(2\)
- B \(-2\)
- C \(4\)
- D \(-4\)
Answer & Solution
Correct Answer
(D) \(-4\)
Step-by-step Solution
Detailed explanation
\(f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}\) is continuous at \(\mathrm{x}=0\)…
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