2025 ACJC Promo Q2

Junior College 1

5 marks

It is given that \(y=\sqrt{1+\tan^{-1}2x}\), where \(-\dfrac12<x<\dfrac12\). Show that

Hence find the Maclaurin series for \(y\), up to and including the term in \(x^3\).[5]

Similar questions are unavailable for this question.

Answer:\(y=1+x-\dfrac12x^2-\dfrac56x^3+O(x^4)\)

Need help? Join our JC Math tuition classes.