General Binomial Expansion - Subtleties (AQA A-Level Mathematics): Quizzes

$|ax| < 1$

Powers of $x$ lead to infinite numbers

Higher powers of $x$ get smaller

$|x| < \frac{1}{8}$

$|x| < \frac{1}{7}$

Take out a factor to get $(1+ax)^n$ form

$\frac{1}{9}(1 + \frac{2}{3}x)^{-2}$

$|x| < \frac{3}{2}$

$1 + x + \frac{3}{2}x^2$

$\frac{11}{2}$