数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)

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数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)数学题解答1/2+1/6+1/12+1/20+.1/

数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)
数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)

数学题解答1/2+1/6+1/12+1/20+.1/(2006*2007)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/2006-1/2007)
=1-1/2007
=2006/2007

2006/2007