\(A=\dfrac{1}{10}+\dfrac{1}{11}+\dfrac{1}{12}+....+\dfrac{1}{100}\)
\(A>\dfrac{1}{10}+\dfrac{1}{100}+\dfrac{1}{100}+....+\dfrac{1}{100}\)
( Từ \(\dfrac{1}{100}\) đến \(\dfrac{1}{100}\) có 90 số )
\(A>\dfrac{1}{10}+\dfrac{1}{100}.90\)
\(\Rightarrow A>1\)
\(A=\dfrac{1}{10}+\dfrac{1}{11}+\dfrac{1}{12}+...+\dfrac{1}{100}\)
\(A>\dfrac{1}{10}+\dfrac{1}{100}+\dfrac{1}{100}+...+\dfrac{1}{100}\)
( Từ \(\dfrac{1}{100}\Rightarrow\dfrac{1}{100}\) có 90 số )
\(A>\dfrac{1}{10}+\dfrac{1}{100}.90\)
\(\Rightarrow A>1\)