Question 5 - A-Level Maths

Exam Board	SPS
Module	SPS SM Pure (SPS SM Pure)
Year	2020
Session	February
Marks	1
Topic	Generalised Binomial Theorem
Type	Expand and state validity

Find the first three non-zero terms of the expansion, in ascending powers of \(x\), of \(( 4 + x ) ^ { \frac { 1 } { 2 } }\).
State the range of values of \(x\) for which your expansion in part (a) is valid. [1]
Use your expansion to determine an approximation to \(\sqrt { } 36.9\), showing all the figures on your calculator.