S=1/5^2+1/7^2+...+1/103^2
=>\(S< \dfrac{1}{5^2}+\dfrac{1}{5\cdot7}+\dfrac{1}{7\cdot9}+...+\dfrac{1}{101\cdot103}\)
=>\(S< \dfrac{1}{2\cdot5}+\dfrac{1}{2}\left(\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{101}-\dfrac{1}{103}\right)\)
=>S<1/25+49/515<5/32
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hép mi , giải thik rõ hộ em
