# Bruker python 2, det er det eneste som stottes her
from numpy import *
import matplotlib.pyplot as plt


f = lambda x: log(x)

#def f(x):
#    return log(x)


x = linspace(0.5, 2.5, 101)

p1 = (x - 1)
p2 = p1 - (1/2.0)*(x - 1)**2
p3 = p2 + (1/3.0)*(x - 1)**3
p4 = p3 - (1/4.0)*(x - 1)**4
p5 = p4 + (1/5.0)*(x - 1)**5

plt.plot(x, f(x), label='f(x)');
plt.plot(x, p1, label='T_1')
plt.plot(x, p2, label='T_2')
plt.plot(x, p3, label='T_3')
plt.plot(x, p4, label='T_4')
plt.plot(x, p5, label='T_5')

plt.legend();
plt.show();