Converging vs Diverging Series

from matplotlib import pyplot as plt
from math import pi

LIMIT = 100
x = list(range(1, LIMIT+1))
SUM1 = 0
sum1 = list()
SUM2 = 0
sum2 = list()
CONSTANT = pi * pi / 6
constant = [CONSTANT for i in range(1, LIMIT+1)]
for i in x:
    SUM1 += 1 / i
    sum1.append(SUM1)
    SUM2 += 1 / i**2
    sum2.append(SUM2)

# About the plots
print("sum1 = " + str(sum1))
print("sum2 = " + str(sum2))
print("constant = " + str(constant))
plt.plot(x, sum1, label="Sum1 = Σ(1 / n)" + str(LIMIT))
plt.plot(x, sum2, label="Sum2 = Σ(1 / n^2)" + str(LIMIT))
plt.plot(x, constant, label="y = π^2 / 6")
plt.title("Sums of 1/n, 1/n^2 for the first " + str(LIMIT) + " terms")
plt.legend()
plt.show()