# Ejercicio 08.8

kill(all)$

f(x):=log(1+x);

taylor(f(x), x, 0, 4);

T3(x) := x-x^2/2+x^3/3;

'D4(f(x))=diff(f(x),x,4);

g(x):=abs(log(1+x)- T3(x) );

g1(t):=1/4*(1/(1+t)^4)*x^4;

g(x)<=g1(x)

'g1(0)=g1(0);

g1(0)=0.25*x;

ejemplo

x1=x1:0.0035;

'f(x1)=f(x1);      
'T3(x1)=T3(x1);

abs(f(x1) - T3(x1));