Question

So sánh

A=\(\frac{15^{16}+1}{15^{17}+1}\)  và    B=\(\frac{15^{15}+1}{15^{16}+1}\)

*giúp mình với nha.....mình cảm ơn

 

Answer 1

\(A=\frac{15^{16}+1}{15^{17}+1}\)                    và                          \(B=\frac{15^{15}+1}{15^{16}+1}\)

\(A< 1\Rightarrow A>\frac{15^{16}+1+14}{15^{17}+1+4}=\frac{15\left(15^{15}+1\right)}{15\left(15^{16}+1\right)}=\frac{15^{15}+1}{15^{16}+1}=B\)

\(\Rightarrow A< B\)

Answer 2

\(A=\frac{15^{16}+1}{15^{17}+1}=\frac{1}{225}\)

\(B=\frac{15^{15}+1}{15^{16}+1}=\frac{1}{225}\)

\(\Rightarrow A=B\)