Question

Cho A = \(\frac{2014}{2014+1975}+\frac{1975}{1975+1963}+\frac{1963}{1963+2014}\) . Hãy so sánh A với 2.

Answer 1

Ta có : \(\frac{2014}{2014+1975}< \frac{2014}{1963+2014};\frac{1975}{1963+1975}< 1\)

Vậy: \(A< \frac{2014}{1963+2014}+\frac{1963}{1963+2014}+1\)

\(A< \frac{2014+1963}{1963+2014}+1\)

\(A< 2\)

Cbht

Answer 2

Ta có: \(\frac{2014}{2014+1975}< \frac{2014}{1963+2014}\)

Và \(\frac{1975}{1963+1975}< 1\)

Nên \(A< \frac{2014}{1963+2014}+\frac{1963}{1963+2014}+1\)

\(A< \frac{2014+1963}{1963+2014}+1\)

\(\Rightarrow A< 1+1\)     \(\Rightarrow A< 2\)

Vậy:  \(A< 2\)

Good luck !!! Rất vui vì giúp đc bạn bạn <3