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Đặt A=1/2+1/3+1/4+...+1/9
A=(1/2+1/3)+(1/4+1/5)+(1/6+1/7)+(1/8+1/9)
A<1/2+1/3+1/4+1/4+1/6+1/6+1/8+1/8
A<5/6+1/2+1/3+1/4
A<23/12<24/12=2
Nên A<2
1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
=(1-1/5)+(1/2-1/2)+(1/3-1/3)+(1/4-1/4)
=(5/5-1/5)+0+0+0=4/5
a) \(\frac{7}{11}-\left(\frac{3}{5}+\frac{7}{11}\right)=-\frac{3}{5}\)
b) \(\left(\frac{11}{22}+\frac{5}{11}\right)-\frac{19}{22}=\frac{1}{11}\)
c) \(\frac{2}{9}.\frac{4}{5}+\frac{2}{9}.\frac{14}{5}=\frac{4}{5}\)
d) \(-\frac{3}{2}.\frac{7}{10}-\frac{3}{2}.\frac{1}{10}=-\frac{6}{5}\)
e) \(\left(0,75-1+\frac{1}{4}\right):\left(\frac{1515}{1616}+\frac{1616}{1717}\right)=0\)
(1/2x - 1/3)2 -4/9=0 => 1/4x2 - 1/3x + 1/9 -4/9 =0 =>1/4x2 - 1/3x -1/3 =0
<=>x1=2 , x2= -2/3
1/2=1/2
1/3+1/4>1/4+1/4=1/2
1/5+…+1/8>4*1/8=1/2
1/9+…+1/16>8*1/16=1/2
1/2+1/3+1/4+…+1/16>4*1/2=2
1/2+1/3+1/4+…+1/63>1/2+1/3+1/4+…+1/16
suy ra: 1/2+1/3+1/4+…+1/63>2