2026 ACJC P1 Q2

Using standard series from the List of Formulae (MF27), find the Maclaurin's series for \(\ln(2+\sin x)\), where \(x\) is sufficiently small for terms \(x^3\) and above to be neglected.[3]

Hence deduce the equation of the tangent to the curve \(y=\ln(2+\sin x)\) at \(x=0\).[1]