Question

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!!!!!!!!!!!!