kill(all);

van = facebook.com/LearningCalculus$

f(x):=log(1/(1-x))/x;

integrate(f(x),x,0,1);

integrate(f(x),x);

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

fullratsimp(taylor(f(x),x,1/2,4));

fullratsimp(taylor(f(x),x,3/4,4));