1/2+1/2==>...+1/3==>...+1/4==>...+1/5==>...-1==>

BàI 7:

1995><1994-1/1993><1995+1994

1/1><2+1/2><3...+1/9><10

2/1><2+2/2><3+...+2/2016><2017

Chứng minh 1/n-1-1/n>1/n^2>1/n-1+1/n với n thuộc N, n>1 . Áp dụng 99/100>1/2^2+1/3^2+......+1/100^2>99/202

Cho x>y TM: x+y<=1 CMR: 1/x^2+y^2 = 1/xy>=6

Cho a,b,c >0 TM: a+b+c<=1 CMR: (1/a^2+bc) + (1/b^2+ac)+ 1/c^2+2ab >=9

Cho a,b>0 TM: a+b<=1 ;CMR: (1/a^b^2)+4b+1/ab>=7

Cho a,b>0 TM:a+b<=1. CMR: 1/1+a^2+b^2 +1/2ab >=8/3

Cho a,b,c>0 TM: a+b+c<=3.CMR: 1/a^2+b^2+c^2 +2009/ab+bc+ac >=670

Cho x>y TM: x+y<=1 CMR: 1/x^2+y^2 = 1/xy>=6

Cho a,b,c >0 TM: a+b+c<=1 CMR: (1/a^2+bc) + (1/b^2+ac)+ 1/c^2+2ab >=9

Cho a,b>0 TM: a+b<=1 ;CMR: (1/a^b^2)+4b+1/ab>=7

Cho a,b>0 TM:a+b<=1. CMR: 1/1+a^2+b^2 +1/2ab >=8/3

Cho a,b,c>0 TM: a+b+c<=3.CMR: 1/a^2+b^2+c^2 +2009/ab+bc+ac >=670

Cho x>y TM: x+y<=1 CMR: 1/x^2+y^2 = 1/xy>=6

Cho a,b,c >0 TM: a+b+c<=1 CMR: (1/a^2+bc) + (1/b^2+ac)+ 1/c^2+2ab >=9

Cho a,b>0 TM: a+b<=1 ;CMR: (1/a^b^2)+4b+1/ab>=7

Cho a,b>0 TM:a+b<=1. CMR: 1/1+a^2+b^2 +1/2ab >=8/3

Cho a,b,c>0 TM: a+b+c<=3.CMR: 1/a^2+b^2+c^2 +2009/ab+bc+ac >=670

Cho x>1 , y>1 .CMR 1/1+x^2 + 1/ 1+y^2 > 2/1+xy

Cho x>y TM: x+y<=1 CMR: 1/x^2+y^2  +  1/xy>=6

Cho a,b,c >0 TM: a+b+c<=1 CMR: (1/a^2+bc) + (1/b^2+ac)+ 1/c^2+2ab >=9

Cho a,b>0 TM: a+b<=1 ;CMR: (1/a^b^2)+  4b  +  1/ab>=7

Cho a,b>0 TM:a+b<=1. CMR: 1/1+a^2+b^2 +  1/2ab >=8/3

Cho a,b,c>0 TM: a+b+c<=3.CMR: 1/a^2+b^2+c^2 + 2009/ab+bc+ac >=670

<1- 1/2> *<1- 1/3> * <1- 1/4>* <1- 1/5> * <1- 1/6> * <1- 1/7> =