Các câu hỏi tương tự
Cho S=\(\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+\frac{2^3}{2005^{2^2}}+...\)\(..+\frac{2^{n+1}}{2005^{2^n}}+...+\frac{2^{2006}}{2005^{2^{2005}}+1}\)
So sánh S với \(\frac{1}{1002}\)
Cho S= \(\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+\frac{2^3}{2005^{2^2}+1}+........+\frac{2^{n+1}}{2005^{2^n}+1}+.......+\frac{2^{2006}}{2005^{2^{2006}}+1}\)
So sánh S với \(\frac{1}{1002}\)
Cho \(S=\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+...+\frac{2^{n+1}}{2005^{^{2^n}}+1}+...+\frac{2^{2006}}{2006^{2^{2005}}+1}\). So sánh S với \(\frac{1}{1002}\)
\(S=\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+\frac{2^3}{2005^{2^2}+1}+...+\frac{2^{n+1}}{2005^{2^n}+1}+...+\frac{2^{2006}}{2005^{2^{2005}}+1}\)So sánh S với \(\frac{1}{1002}\)
Cho \(S=\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+\frac{2^3}{2005^{2^2}+1}+...+\frac{2^{n+1}}{2005^{2^{n+1}}+1}+...+\frac{2^{2006}}{2005^{2^{2006}}+1}\)
So sánh S với \(\frac{1}{1002}\)
So sánh:
a) S= \(\frac{2}{1.2.3}+\frac{2}{2.3.4}+.....+\frac{2}{2010.2011.2012}với\frac{1}{2}\)
b) A=\(\frac{10^{2004}+1}{10^{2005}+1}vàB=\frac{10^{2005}+1}{10^{2006}+1}\)
so sánh
\(\left(\frac{2006-2005}{2006+2005}\right)^2va\frac{2006^2-2005^2}{2006^2+2005^2}\)
So sánh
a)A=\(\frac{2005^{2005}+1}{2005^{2006}+1}\)và B=\(\frac{2005^{2004}+1}{2005^{2005}+1}\)
b)M=\(\frac{2009^{2009}+1}{2009^{2010}+1}\)và N=\(\frac{2009^{2009}-2}{2009^{2010}-2}\)
c)P=\(\frac{1+5+5^2+5^3+...+5^{10}}{1+5+5^2+5^3+...+5^9}\)và Q=\(\frac{1+3+3^2+3^3+...+3^{10}}{1+3+3^2+3^3+...+3^9}\)
Bài 1:Tìm x
2+\(\frac{2}{6}\)+\(\frac{2}{12}+\frac{2}{20}+........+\frac{2}{x\left(x+1\right)}=1\frac{2005}{2007}\)
Bài 2 :So sánh
a,\(\frac{2003}{2004}+\frac{2004}{2005}+\frac{2005}{2003}\)với 3
b,\(\frac{2005.2006}{2005.2006+1}\)và \(\frac{2006.2007}{2006.2007+1}\)