函数调用格式:

taylor(fcn,x,x0,'Order',6)%对函数fcn在点x0处,进行6阶泰勒展开

MATLAB代码:

clc

clear all

close all

syms x

y=exp(-x)

y1=taylor(y,x,2'Order',4)

得到:

y1=exp(-2) - exp(-2)*(x - 2) + (exp(-2)*(x - 2)^2)/2 - (exp(-2)*(x - 2)^3)/6