Question 8 - A-Level Maths

Exam Board	OCR
Module	Pure 1 (Pure Mathematics 1)
Year	2018
Session	December
Topic	Generalised Binomial Theorem
Type	Multiply by polynomial

Expand \(\sqrt { 1 + 2 x }\) in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\).
Hence expand \(\frac { \sqrt { 1 + 2 x } } { 1 + 9 x ^ { 2 } }\) in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\).
Determine the range of values of \(x\) for which the expansion in part (b) is valid.