Easy -1.8 This is a direct recall question requiring only knowledge that binomial expansion of (1+bx)^n is valid for |bx|<1. Here b=-1/4, so |-x/4|<1 gives |x|<4. It's a 1-mark multiple choice question with no calculation or problem-solving required, making it significantly easier than average.
State the range of values of \(x\) for which the binomial expansion of
$$\sqrt{1 - \frac{x}{4}}$$
is valid.
Circle your answer.
[1 mark]
\(|x| < \frac{1}{4}\) \quad\quad \(|x| < 1\) \quad\quad \(|x| < 2\) \quad\quad \(|x| < 4\)
State the range of values of $x$ for which the binomial expansion of
$$\sqrt{1 - \frac{x}{4}}$$
is valid.
Circle your answer.
[1 mark]
$|x| < \frac{1}{4}$ \quad\quad $|x| < 1$ \quad\quad $|x| < 2$ \quad\quad $|x| < 4$
\hfill \mbox{\textit{AQA Paper 3 2022 Q1 [1]}}