Maclaurin Series (Edexcel A-Level Further Mathematics): Quizzes

Every function can be written as an infinite-order polynomial

$c_n = \frac{f^{(n)}(0)}{n!}$

$f(0)$

$\frac{f''(0)}{2}$

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

$\frac{5}{2} - 2x^2$

$x - \frac{x^2}{2} + \frac{x^3}{3} + \cdots$

$\ln 2 + \ln(1+\frac{x}{2})$

Write as product of known expansions

$e + ex + ex^2$