Chứng tỏ rằng: \( P = \left(1 + \frac{1}{2}\right) \left(1 + \frac{1}{2^2}\right) \left(1 + \frac{1}{2^3}\right) \ldots \left(1 + \frac{1}{2^{2024}}\right) < 3 \)

----- Nội dung ảnh -----
Chứng tỏ rằng: \( P = \left(1 + \frac{1}{2}\right) \left(1 + \frac{1}{2^2}\right) \left(1 + \frac{1}{2^3}\right) \ldots \left(1 + \frac{1}{2^{2024}}\right) < 3 \)