Question

1\3+1\31 + 1\1\35 +1\37 + 1\47 + 1\53 + 1\61< 1\2

Answer 1

minh cần câu trả loi nhanh nhất có thể

Answer 2

Đặt \(A=\dfrac{1}{3}+\dfrac{1}{31}+\dfrac{1}{35}+\dfrac{1}{37}+\dfrac{1}{47}+\dfrac{1}{53}+\dfrac{1}{61}\)

\(A< \left(\dfrac{1}{30}+\dfrac{1}{30}+\dfrac{1}{30}\right)+\left(\dfrac{1}{60}+\dfrac{1}{60}+\dfrac{1}{60}+\dfrac{1}{60}\right)\)

\(A< \dfrac{1}{3}+\dfrac{3}{30}+\dfrac{4}{60}\)

\(A< \dfrac{10}{30}+\dfrac{3}{30}+\dfrac{2}{30}\)

\(A< \dfrac{15}{30}=\dfrac{1}{2}\)

\(\Rightarrow A< \dfrac{1}{2}\) ( đpcm ).