# Shrink the numerator

**Calculus**Level 4

\[\large f(x) = \frac{ A \sin(x) + B \sin(2x) + \sin(3x) }{x^5} \]

For \(x \ne 0 \), let \(f(x) \) be expressed as above for constants \(A,B\).

If \(f(x) \) is continuous at \(x=0\), find \(A+B\).

\[\large f(x) = \frac{ A \sin(x) + B \sin(2x) + \sin(3x) }{x^5} \]

For \(x \ne 0 \), let \(f(x) \) be expressed as above for constants \(A,B\).

If \(f(x) \) is continuous at \(x=0\), find \(A+B\).

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