Question 3 - A-Level Maths

Exam Board	OCR
Module	FP2 (Further Pure Mathematics 2)
Session	Specimen
Topic	Taylor series
Type	Deduce related series from given series

Find the first three terms of the Maclaurin series for $\ln ( 2 + x )$.
Write down the first three terms of the series for $\ln ( 2 - x )$, and hence show that, if $x$ is small, then $$\ln \left( \frac { 2 + x } { 2 - x } \right) \approx x$$