数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=

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数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=数学问题

数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=
数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=

数学问题提问1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100=
1/1*2+1/2*3+1/3*4+1/4*5.+1/98*99+1/99*100
=1-1/2+1/2+1/3-1/3+1/4+1/4-1/5+……+1/99-1/100
=1-1/100
=99/100