Nhân xét biểu thức A, ta thấy:
\(\frac{9999999999}{2}>\frac{9999999999}{3}>\frac{9999999999}{6}>0\)
=> \(A>0\left(đpcm\right)\)
ta có 9999999999/2=9999999999*3/2*3
9999999999/3=9999999999*2/3*2
suy ra 9999999999*3/2*3 - 9999999999*2/3*2=9999999999*3-9999999999*2/6=9999999999/6
suy ra A=9999999999/6-9999999999/6=0
vậy A=0
\(A=9999999999.\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
\(A=9999999999.0=0\)
Vậy A=0