Các câu hỏi tương tự
So sánh 2 số sau: M=\(\frac{2013^{2012}+2012}{2013^{2011}+1}\)và \(N=\frac{2013^{2011}+2012}{2013^{2010}+1}\)
Tính :
\(\frac{1+\frac{1}{2}+\frac{1}{3}+..........+\frac{1}{2011}+\frac{1}{2012}}{\frac{2013}{1}+\frac{2014}{2}+\frac{2015}{3}+..............+\frac{4023}{2011}+\frac{4024}{2012}}-2012\)
Rút gọn \(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}}{2012+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\cdot\cdot\cdot+\frac{1}{2012}+\frac{1}{2013}}{\frac{2012}{1}+\frac{2011}{2}+\frac{2010}{3}+\frac{1}{2012}}\)
\(\frac{\frac{\frac{1}{2}+\frac{1}{3}+....+\frac{1}{2013}}{2012+\frac{2012}{2}+\frac{2011}{3}+.....+\frac{1}{2013}}}{ }\)
\(\frac{2012^{2010}+1}{2012^{2011}+1}và\frac{2012^{2011}+1}{2012^{2012}+1}\)so sánh 2 số
Tính\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2013}}{2012+\frac{2012}{2}+\frac{2011}{3}+\frac{2010}{4}+...+\frac{1}{2013}}\)
cho S=\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2011}-\frac{1}{2012}+\frac{1}{2013}\)
va P=\(\frac{1}{1007}+\frac{1}{1008}+...+\frac{1}{2012}+\frac{1}{2013}\)
tinh (S-P)2013
s=1-\(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2011}-\frac{1}{2012}+\frac{1}{2013}\)
và p=\(\frac{1}{1007}+\frac{1}{1008}+....+\frac{1}{2012}+\frac{1}{2013}\)
tính(S-P)^2013
đề thi chọn học sinh giỏi môn toán, lớp 7, tỉnh bắc giang năm học 2012-2013