Chứng minh: A=\(\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+...+\frac{1}{2005^3}+\frac{1}{2006^3}<\frac{1}{4}\)
CMR:
\(\frac{1}{2^3}+\frac{1}{3^3}+.....+\frac{1}{2005^3}+\frac{1}{2006^3}<\frac{1}{15}\)
Chứng minh rằng: \(\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}...+\frac{1}{2005^3}+\frac{1}{2006^3}>\frac{1}{15}\)
C=\(\frac{\frac{2006}{2}}{\frac{2006}{1}}\) +\(\frac{2006}{\frac{3}{\frac{2005}{2}}}\) +\(\frac{2006}{\frac{4}{\frac{2004}{3}}}\) +...+\(\frac{2006}{\frac{2007}{\frac{1}{2006}}}\)
Chứng minh rằng :
\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2005}-\frac{1}{2006}=\frac{1}{1004}+\frac{1}{1005}+...+\frac{1}{2006}_{ }\)
Cho \(B=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+...+\frac{1}{3^{2005}}\)
CMR:\(B< \frac{1}{2}\)
1,Tính
a,\(\frac{3}{4}-\frac{-1}{2}+\frac{1}{3}\)
b,\(5\frac{5}{27}+\frac{7}{23}+\frac{1}{2}-\frac{5}{27}+\frac{16}{23}\)
2,Tìm x
a,\(\frac{1}{2}+\frac{2}{3}x=\frac{1}{4}\)
b,\(\frac{3}{5}+\frac{2}{5}\div x=3\frac{1}{2}\)
c,\(\frac{x+4}{2004}+\frac{x+3}{2005}=\frac{x+2}{2006}+\frac{x+1}{2007}\)
Giúp mình với nhé mai mình phải nộp rồi
tính
\(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+...+\frac{1}{3^{2004}}+\frac{1}{3^{2005}}\)
giúp mình giải nha
CMR:\(\frac{3}{5}< \frac{1}{2004}+\frac{1}{2005}+...+\frac{1}{4006}< \frac{3}{4}\)