\(S=2S-S\)
\(=2\left(1+\dfrac{1}{2}+...+\dfrac{1}{2^{2022}}\right)-\left(1+\dfrac{1}{2}+...+\dfrac{1}{2^{2022}}\right)\)
\(=\left(2+1+...+\dfrac{1}{2^{2021}}\right)-\left(1+\dfrac{1}{2}+...+\dfrac{1}{2^{2022}}\right)\)
\(=2-\dfrac{1}{2^{2022}}< 2\left(đpcm\right)\)
bài thi tui có bài này (0.5 điểm ) khó quá nên bỏ qua luôn
nói chung ko bt làm