Leveraging from the good answers above and assuming you were only using plt as in
import matplotlib.pyplot as plt
then you can get all four plot limits using plt.axis()
as in the following example.
import matplotlib.pyplot as plt
x = [1, 2, 3, 4, 5, 6, 7, 8] # fake data
y = [1, 2, 3, 4, 3, 2, 5, 6]
plt.plot(x, y, 'k')
xmin, xmax, ymin, ymax = plt.axis()
s = 'xmin = ' + str(round(xmin, 2)) + ', ' + \
'xmax = ' + str(xmax) + '\n' + \
'ymin = ' + str(ymin) + ', ' + \
'ymax = ' + str(ymax) + ' '
plt.annotate(s, (1, 5))
plt.show()