function [fun,dfun,ifun,x0,m,C,Ax] = zsqrt
% 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 = -0.99;
b = 1.0;
ymin = 0;
ymax = 1.5;
ymin1 = 0;
ymax1 = 2;
ymin2 = -0.8;
ymax2 = 1.3;
Ax(1,:) = [a b ymin ymax];
Ax(2,:) = [a b ymin1 ymax1];
Ax(3,:) = [a b ymin2 ymax2];
fun = 'sqrt(1+x)';
dfun = '(2.*sqrt(1+x)).^(-1)';
ifun = '(2/3 + 2*x/3).*sqrt(1+x)-2/3';
C = [322476036831/140737488355328,
-171529806825/70368744177664,
11435320455/4398046511104,
-6116566755/2199023255552,
1641030105/549755813888,
-883631595/274877906944,
119409675/34359738368,
-64822395/17179869184,
17678835/4294967296,
-9694845/2147483648,
334305/67108864,
-185725/33554432,
52003/8388608,
-29393/4194304,
4199/524288,
-2431/262144,
715/65536,
-429/32768,
33/2048,
-21/1024,
7/256,
-5/128,
1/16,
-1/8,
1/2,
1];