Toán 6......

H

harrypham

Bạn nhân hai lên rồi sử dụng phân tích [tex]\frac{2}{n.(n+1)}=\frac{1}{n}-\frac{1}{n+1}[/tex]
 
T

tunghp1998

A=[tex] \frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+........+\frac{1}{2017.2019}[/tex]
A=[tex] \frac{1}{2}(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+.......+\frac{2}{2017.2019})[/tex]
A=[tex] \frac{1}{2}(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+........+\frac{1}{2017}-\frac{1}{2019})[/tex]
A=[tex]\frac{1}{2}(1-\frac{1}{2019})[/tex]
A=[tex]\frac{1}{2}.\frac{2018}{2019}[/tex]
A=[tex]\frac{1009}{2019}[/tex]
 
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