Question

[Phạm Ngân Hà]

So sánh:

\(A=\dfrac{13^{2017}+69}{13^{2019}+69}\) và \(B=\dfrac{13^{2015}+1}{13^{2017}+1}\)

Answer 1

[Mashiro Shiina]

Sửa đề:

Nếu:

\(\dfrac{a}{b}< 1\Leftrightarrow\dfrac{a+m}{b+m}< 1\left(m\in N\right)\)

\(B=\dfrac{69^{2015}+1}{69^{2017}+1}< 1\)

\(B< \dfrac{69^{2015}+1+68}{69^{2017}+1+68}\Leftrightarrow B< \dfrac{69^{2015}+69}{69^{2017}+69}\)

\(B< \dfrac{69\left(69^{2014}+1\right)}{69\left(69^{2016}+1\right)}\Leftrightarrow B< \dfrac{69^{2014}+1}{69^{2016}+1}=A\)

\(B< A\)

Answer 2

[Mashiro Shiina]

Bạn xem đề có đúng ko đó