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how to set date axes limits in matplotlib plot

import datetime
import matplotlib.pyplot as plt
plt.rcParams["figure.figsize"] = [7.00, 3.50]
plt.rcParams["figure.autolayout"] = True
x = [datetime.date(2021, 1, 1), datetime.date(2021, 1, 3), datetime.date(2021, 1,
5), datetime.date(2021, 1, 7)]
y = [1, 3, 5, 7]
fig, ax = plt.subplots()
ax.plot_date(x, y, markerfacecolor='green', markeredgecolor='red', ms=7)
fig.autofmt_xdate()
ax.set_xlim([datetime.date(2020, 12, 31), datetime.date(2021, 1, 8)])
ax.set_ylim([0, 8])
plt.show()
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