计算:2/(1*3)+2/(3*5)+2/(5*7+2/(7*9)+...+2/(95*97)+2/(97*99)=?

问题描述:

计算:2/(1*3)+2/(3*5)+2/(5*7+2/(7*9)+...+2/(95*97)+2/(97*99)=?

2/(1*3)+2/(3*5)+2/(5*7+2/(7*9)+...+2/(95*97)+2/(97*99)
=1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/95-1/97+1/97-1/99
=1-1/99
=98/99