Question 5 - A-Level Maths

Exam Board	OCR MEI
Module	Further Pure Core (Further Pure Core)
Year	2021
Session	November
Topic	Taylor series
Type	Use series to find error or validity

Use a Maclaurin series to find a quadratic approximation for \(\ln ( 1 + 2 x )\).
Find the percentage error in using the approximation in part (a) to calculate \(\ln ( 1.2 )\).
Jane uses the Maclaurin series in part (a) to try to calculate an approximation for \(\ln 3\). Explain whether her method is valid.