expand-y-e-x-about-the-point-x-1-using-taylor-s-series-

Question Number 9400 by tawakalitu last updated on 04/Dec/16

expand : y = e^{x}, about the point x = 1

using {taylor}^{'} s series .

Answered by 123456 last updated on 04/Dec/16

y = \frac{d y}{d x} = \dots for y = e^{x}

taylor serie

y = \underset{n = 0}{\sum^{\infty}} \frac{f^{(n)} (a)}{n!} {(x - a)}^{n} ∣ x - a ∣< R

f^{(n)} (a) mean n th derivate

so we get

e^{x} = \underset{n = 0}{\sum^{\infty}} \frac{e {(x - 1)}^{n}}{n!}

Facebook Tweet Pin