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\(Cho\) \(S=\dfrac{2}{2005+1}+\dfrac{2^2}{2005^2+1}+\dfrac{2^3}{2005^{2^2}+1}+...+\dfrac{2^{n+1}}{2005^{2^n}+1}+....+\dfrac{2^{2006}}{2005^{2^{2005}}+1}\)

SO SÁNH S với \(\dfrac{1}{1002}\)

Cho \(S=\dfrac{2}{2005+1}+\dfrac{2^2}{2005^2+1}+\dfrac{2}{2005^{2^2}+1}+................+\dfrac{2^{n+1}}{2005^{2^n}+1}+..........+\dfrac{ }{2005^{2^{2005}}+1}\)

So sánh \(S\) với \(\dfrac{1}{1002}\)

Help me!!!!!!!!!!!!

Chứng minh rằng :

\(S=\dfrac{2006}{2005^2+1}+\dfrac{2006}{2005^2+2}+\dfrac{2006}{2005^2+2005}\)

Không phải là số nguyên dương.

so sánh 2 phân số,giúp mk với

:A=\(\dfrac{2005^{2005}+1}{2005^{2006}+1};B=\dfrac{2005^{2004}+1}{2005^{2005}+1}\)

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 \(\frac{1}{1002}\)

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=\(\frac{2}{2005+1}+\frac{2^2}{2005^2+1}+\frac{2^3}{2005^{2^2}}+...\)\(..+\frac{2^{n+1}}{2005^{2^n}}+...+\frac{2^{2006}}{2005^{2^{2005}}+1}\)

So sánh S với \(\frac{1}{1002}\)

a,tính tổng : \(S=\dfrac{27+4500+135+550+2}{2+4+6+...+14+16+18}\)

b, So sánh : \(A=\dfrac{2006^{2006}+1}{2006^{2007}+1}v\text{à }B=\dfrac{2006^{2005}+1}{2006^{2006}+1}\)

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 \(\frac{1}{1002}\)