Question

So sánh : A với B

 

A=5^5+2/5^5-1

B=5^5/5^5-3

Answer 1

\(A=\frac{5^5+2}{5^5-2}>\frac{5^5}{5^5-1}>\frac{5^5}{5^5-3}=B\Rightarrow A>B\)

Answer 2

lý Kì Anh Bạn nhầm rồi nhé :)

\(5^5-1>5^5-3\)nên \(\frac{5^5}{5^5-1}< \frac{5^5}{5^5-3}\)

Answer 3

Ta có :

\(A=\frac{5^5+2}{5^5-1}=\frac{5^5-1}{5^5-1}+\frac{3}{5^5-1}\)

                       \(=1+\frac{3}{5^5-1}\)

\(B=\frac{5^5}{5^5-3}=\frac{5^5-3}{5^5-3}+\frac{3}{5^5-3}\)

                      \(=1+\frac{3}{5^5-3}\)

\(5^5-1>5^5-3\)

\(\Rightarrow\frac{3}{5^5-1}< \frac{3}{5^5-3}\)

\(\Rightarrow1+\frac{3}{5^5-1}< 1+\frac{3}{5^5-3}\)

\(\Rightarrow A< B\)

Vậy \(A< B.\)