Question

cho A= \(\frac{2006}{2007}\)+ \(\frac{2007}{2008}\)+ \(\frac{2008}{2006}\)

so sánh A với 3

 

Answer 1

\(A=\frac{2006}{2007}+\frac{2007}{2008}+\frac{2008}{2006}\)

\(A=1,999003736+\frac{2008}{2006}\)

\(A=3,000000745\)

A>3

Answer 2

\(=3,000000745>3\)

Answer 3

\(A>3\)

Answer 4

A = \(\frac{2007}{2007}-\frac{1}{2007}+\frac{2008}{2008}-\frac{1}{2008}+\frac{2006}{2006}+\frac{2}{2006}\)

A = \(1+1+1-\frac{1}{2007}-\frac{1}{2008}+\frac{2}{2006}\)

A = 3+ \(-\frac{1}{2007}-\frac{1}{2008}+\frac{2}{2006}\)

A > 3

Answer 5

Dễ dàng nhận thấy 

\(\frac{2006}{2007}+\frac{1}{2006}>\frac{2006}{2007}+\frac{1}{2007}=1\)

\(\frac{2007}{2008}+\frac{1}{2006}>\frac{2007}{2008}+\frac{1}{2008}=1\)

\(\frac{2006}{2006}=1\)

\(=>\frac{2006}{2007}+\frac{2007}{2008}+\frac{2008}{2006}>1\)(đpcm)