These Ten-Year-Series (TYS) worked solutions with video explanations for 2020 A Level H2 Mathematics Paper 1 Question 3 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2020 A Level H2 Math Paper 1 Question 3
It is given that $\text{f}(x)=\ln \left( 1+\sin 3x \right)$.
(i)
Show that $\text{f}”(x)=\frac{k}{1+\sin 3x}$, where $k$ is a constant to be found.
[3]
(i) Show that $\text{f}”(x)=\frac{k}{1+\sin 3x}$, where $k$ is a constant to be found.
[3]
(ii)
Hence find the first three non-zero terms of the Maclaurin expansion of $\text{f}(x)$.
[4]
(ii) Hence find the first three non-zero terms of the Maclaurin expansion of $\text{f}(x)$.
[4]
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