Chứng minh A = \(\frac{1}{3} + \frac{1}{3^2} + \frac{1}{3^3} + \ldots + \frac{1}{3^{2022}} + \frac{1}{3^{2023}} < \frac{1}{2}\)

Giúp tớ cần gấp
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chứng minh vững:
A = \(\frac{1}{3} + \frac{1}{3^2} + \frac{1}{3^3} + \ldots + \frac{1}{3^{2022}} + \frac{1}{3^{2023}} < \frac{1}{2}\)