function [fun,dfun,ifun,x0,m,C,Ax] = zsin
% Taylor series coefficient lists for several functions.
% Pm(x) = c(1) + c(2)x + c(2)x^2 + ... + c(m+1)x^m
% fun is the function, output.
% dfun is the derivative, output.
% ifun is the integral, output.
% x0 is the point of expansion, output.
% m is the degree of the polynomial, output.
% C is the coefficient list, output.
% Ax contains three asis vectors plotting, output.
x0 = 0;
m = 25;
a = 0;
b = 10;
ymin = -1.05;
ymax = 1.05;
ymin1 = -1.1;
ymax1 = 1.1;
ymin2 = -0.1;
ymax2 = 2.1;
Ax(1,:) = [a b ymin ymax];
Ax(2,:) = [a b ymin1 ymax1];
Ax(3,:) = [a b ymin2 ymax2];
fun = 'sin(x)';
dfun = 'cos(x)';
ifun = '1-cos(x)';
C = [1/15511210043330985984000000,
0,
-1/25852016738884976640000,
0,
1/51090942171709440000,
0,
-1/121645100408832000,
0,
1/355687428096000,
0,
-1/1307674368000,
0,
1/6227020800,
0,
-1/39916800,
0,
1/362880,
0,
-1/5040,
0,
1/120,
0,
-1/6,
0,
1,
0];