Question

So Sánh \(A=\frac{2010^{2011}+1}{2010^{2012}+1}\)và \(B=\frac{2010^{2010}+1}{2010^{2011}+1}\)

Answer 1

\(1-A=1-\frac{2010^{2011}+1}{2010^{2012}+1}=\frac{2010^{2012}+1}{2010^{2012}+1}-\frac{2010^{2011}+1}{2010^{2012}+1}=\frac{2010}{2010^{2012}+1}\)

\(1-B=1-\frac{2010^{2010}+1}{2010^{2011}+1}=\frac{2010^{2011}+1}{2010^{2011}+1}-\frac{2010^{2010}+1}{2010^{2011}+1}=\frac{2010}{2010^{2011}+1}\)

Do \(\frac{2010}{2010^{2012}+1}B\)

Answer 2

Do 2010²⁰¹¹+1<2010²⁰¹²+1=>A<1

Tương tự với B;B<1

Theo đề bài ta có:

\(A=\frac{2010^{2011}+1}{2010^{2012}+1}

Answer 3

A>B bạn nha

CHÚC BẠN HỌC GIỎI

Answer 4

A>B đấy bạn ạ