1. Tính tích
\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{899}{900}\)
2 Chứng tỏ rằng:\(y=\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+...+\frac{1}{17}<2\)
3. tính nhanh \(y=\frac{3}{5.7}+\frac{3}{7.9}+...+\frac{3}{59.61}\)
4. Chứng minh rằng \(S=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{20}}<1\)