from matplotlib import pyplot as plt
import numpy as np


def func2(n, func):
    l = func(n)
    print(l)
    return (1 - 2 ** (-1 / l)) ** (1 / n)


x = np.arange(1, 51)
l = [lambda n : n ** 2, lambda n : n ** 5, lambda n : n ** 10, lambda n : 2 ** n]
names = ["n ** 2", "n ** 5", "n ** 10", "2 ** n"]
plt.figure(figsize=(18, 8))
for i in range(len(l)):
    plt.plot(x, func2(x, l[i]), label='{} points'.format(names[i]))
plt.grid(True)
plt.legend(prop={'size': 18})
plt.show()