Question

\(A=\frac{2^{2014}+1}{2^{2014}}B=\frac{2^{2014}+2}{2^{2014}+1}\)

 So sánh

Answer 1

Ta có : A = \(\frac{2^{2014}+1}{2^{2014}}=1+\frac{1}{2^{2014}}\) 

           B = \(\frac{2^{2014}+2}{2^{2014}+1}=1+\frac{1}{2^{2014}+1}\)

Vì : \(\frac{1}{2^{2014}}>\frac{1}{2^{2014}+1}\)

Nên A > B 

Answer 2

Viết hẳn từng bước đi bạn

Answer 3

Được thôi ban :

Ta có :  \(A=\frac{2^{2014}+1}{2^{2014}}=\frac{2^{2014}}{2^{2014}}+\frac{1}{2^{2014}}=1+\frac{1}{2^{2014}}\)

            \(B=\frac{2^{2014}+2}{2^{2014}+1}=\frac{2^{2014}+1}{2^{2014}+1}+\frac{1}{2^{2014}+1}=1+\frac{1}{2^{2014}+1}\)

Đó ok chưa