1. so sánh A với 2, biết A = \(\dfrac{1}{2}\)+\(\dfrac{2}{2^2}\)+\(\dfrac{3}{2^3}\)+...+\(\dfrac{2023}{2^{2023}}\).
2.so sánh P =\(\dfrac{10^7+5}{10^7-8}\) và Q = \(\dfrac{10^8+6}{10^8-7}\).
3.cho A = 1- \(\dfrac{3}{4}\) +(\(\dfrac{3}{4}\))\(^2\) - (\(\dfrac{3}{4}\))\(^3\) + (\(\dfrac{3}{4}\))\(^4\) - ...-(\(\dfrac{3}{4}\))\(^{2023}\).
chứng minh A không là số nguyên.
4. tính C = \(\dfrac{32}{3.7}\)+\(\dfrac{6}{7.41}\)+\(\dfrac{9}{41.10}\)+\(\dfrac{1}{10.51}\)+\(\dfrac{19}{51.14}\).