2/11x13+2/13x15+2/15x17+...+2/97x99
=1/11-1/13+1/13-1/15+1/15-1/17+...+1/97-1/99
=1/11-1/99
=8/99
= 2/11.13 + 2/13.15 + ... + 2/97.99
= 2/11 .2/13 + 2/13 . 2/15 + ... + 2/97 . 2/97
= 2/11 + 2/97
= ......tu tinh
\(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+..+\frac{2}{95.97}+\frac{2}{97.99}\)
\(=1-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{97}+\frac{1}{99}\)
\(=1-\frac{1}{99}\)
\(=\frac{98}{99}\)