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supperman091

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pro3182001

A=$\frac{1}{41}$+$\frac{1}{42}$+$\frac{1}{43}$+...+$\frac{1}{80}$
=($\frac{1}{41}$+$\frac{1}{42}$+...+$\frac{1}{60}$)+($\frac{1}{61}$+$\frac{1}{62}$+...+$\frac{1}{80}$)
\Rightarrow A>$\frac{1}{60}$.20+$\frac{1}{80}$.20
\Rightarrow A>$\frac{1}{3}$+$\frac{1}{4}$
\Rightarrow A>$\frac{7}{12}$
 
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