Actually you want to include x = 0 because this results in y = nan, forming a gap in the plot.
import numpy as np
import matplotlib.pyplot as plt
def f(x):
return 1/x
fx_name = r'$f(x)=\frac{1}{x}$'
# using 101 steps results in in array including the value 0
x=np.linspace(-10,10,101)
# f(0) = nan -> a nan value creates a gap
y=f(x)
plt.plot(x, y, label=fx_name)
plt.legend(loc='upper left')
plt.show()
