\(\frac{\frac{1}{1.2}+\frac{1}{3.4}+...+\frac{1}{199.200}}{\frac{1}{101}+\frac{1}{102}+...\frac{1}{200}}=1\)
Hãy chứng minh
CMr: \(\frac{1}{101}+\frac{1}{102}+...+\frac{1}{200}>\frac{5}{8}\)
so sánh
\(\frac{1}{101^2}+\frac{1}{102^2}+\frac{1}{103^2}+\frac{1}{104^2}+\frac{1}{105^2}\) với \(\frac{1}{2^2.3.5^2.7}\)
cho A=\(\frac{1}{3^2}-\frac{1}{3^4}+\frac{1}{3^6}-\frac{1}{3^8}+...+\frac{1}{3^{2014}}-\frac{1}{3^{2016}}\) chứng minh rằng A<0,1 hãy tổng quát bài toán
cho A=\(\frac{1}{3^2}-\frac{1}{3^4}+\frac{1}{3^6}-\frac{1}{3^8}+...+\frac{1}{3^{2014}}-\frac{1}{3^{2016}}\) chứng minh rằng A <0,1 hãy tổng quát bài toán
Cho A = 1+ \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+....+\frac{1}{2015^2}+\frac{1}{2016^2}\) .
Chứng minh rằng: A < 1\(\frac{3}{4}\)
Cho A=\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+.....+\frac{1}{2002^2}\)
Chứng minh rằng A<\(\frac{1505}{2008}\)
tìm x biết:
\(\frac{x-1}{99}-\frac{x+1}{101}+\frac{x-2}{98}-\frac{x+2}{102}+\frac{x-3}{97}-\frac{x+3}{103}+\frac{x-4}{96}-\frac{x+4}{104}=0\)
Cho A = 1+ \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+....+\frac{1}{2015^2}+\frac{1}{2016^2}\) .
Chứng minh rằng: A < 1\(\frac{3}{4}\)