题目
计算:2/(1*3)+2/(3*5)+2/(5*7)+...+2/(2007*2009)
提问时间:2021-04-04
答案
2/(1*3)+2/(3*5)+2/(5*7)+...+2/(2007*2009)
=1-1/3+1/3-1/5+1/5-1/7+...+1/2007-1/2009
=1-1/2009
=2008/2009
=1-1/3+1/3-1/5+1/5-1/7+...+1/2007-1/2009
=1-1/2009
=2008/2009
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