1+(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+…+(1/2009-1/2008)+(1/2010-1/2009) 等于多少?1+(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+…+(1/2009-1/2008)+(1/2010-1/2009) 等于多少?

问题描述:

1+(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+…+(1/2009-1/2008)+(1/2010-1/2009) 等于多少?
1+(1/2-1)+(1/3-1/2)+(1/4-1/3)+(1/5-1/4)+…+(1/2009-1/2008)+(1/2010-1/2009)
等于多少?

=1/2010