问题标题:
数学题1/(1*3)+1/(3*5)+1/(5*7)+.+1/(2007*2009)
问题描述:
数学题1/(1*3)+1/(3*5)+1/(5*7)+.+1/(2007*2009)
莫松海回答:
1/(1*3)+1/(3*5)+1/(5*7)+.+1/(2007*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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