Cho \(S=\frac{1}{101}+\frac{1}{102}+\frac{1}{103}+...+\frac{1}{130}\). Chứng minh: 1/4 < S < 91/330
Cho biết S= \(\frac{1}{101}+\frac{1}{102}+...+\frac{1}{130}\). Chứng minh rằng \(\frac{1}{4}\)< S <\(\frac{91}{330}\)
Cho biết S= \(\frac{1}{101}\)+ \(\frac{1}{102}\)+...+\(\frac{1}{130}\)
Chứng minh \(\frac{1}{4}\)< S < \(\frac{91}{330}\)
S= \(\frac{1}{101}+\frac{1}{102}+\frac{1}{103}+....+\frac{1}{130}.Chứngminhrằng\frac{1}{4}< S< \frac{91}{330}\)
Cho biết \(S=\frac{1}{101}+\frac{1}{102}+\frac{1}{103}+....+\frac{1}{129}+\frac{1}{130}\)
\(CMR:\frac{1}{4}< S< \frac{91}{330}\)
dạng 1 : so sánh
a) P = \(\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{2013^2}+\frac{1}{2014^2}\)và Q = \(1\frac{3}{4}\)
dạng 2 : toán chứng minh
1. cho S = \(\frac{1}{101}+\frac{1}{102}+...+\frac{1}{130}\)chứng minh rằng : \(\frac{1}{4}< S< \frac{91}{330}\)
2. cho S = \(\frac{5}{20}+\frac{5}{21}+\frac{5}{22}+...+\frac{5}{49}\). CMR : 3 < S < 8
3. CMR : \(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2^{1999}}>1000\)
Chứng Minh
\(S=\frac{1}{101}+\frac{1}{102}+\frac{1}{103}+....+\frac{1}{200}<\frac{3}{4}\)
Chứng minh rằng:
\(\frac{5}{8}<\frac{1}{101}+\frac{1}{102}+......+\frac{1}{200}<\frac{3}{4}\)
chứng minh rằng
\(A=\frac{1}{101}+\frac{1}{102}+....+\frac{1}{199}+\frac{1}{200}< 1\)1