Translations:Dictionary:Taylor series/11/en

$f(x)=f(b)+{\frac {1}{1!}}{\frac {df(b)}{dx}}(x-b)+{\frac {1}{2!}}{\frac {d^{2}f(b)}{dx^{2}}}(x-b)^{2}+{\frac {1}{3!}}{\frac {d^{3}f(b)}{dx^{3}}}(x-b)^{3}+...$