Question

so sánh A =5 mũ 2021+1/5 mũ 2022+1       B.=5 mũ 2010+1/5 mũ 2021+1

Answer 1

\(5A=\dfrac{5^{2022}+5}{5^{2022}+1}=1+\dfrac{4}{5^{2022}+1}\)

Sửa đề: \(B=\dfrac{5^{2020}+1}{5^{2021}+1}\)

=>\(5B=\dfrac{5^{2021}+5}{5^{2021}+1}=1+\dfrac{4}{5^{2021}+1}\)

5^2022>5^2021

=>5^2022+1>5^2021+1

=>5A<5B

=>A<B