求1/2+1/2X3+1/3X4+...+1/99X100

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求1/2+1/2X3+1/3X4+...+1/99X100

求1/2+1/2X3+1/3X4+...+1/99X100
求1/2+1/2X3+1/3X4+...+1/99X100

求1/2+1/2X3+1/3X4+...+1/99X100
1/2+1/2X3+1/3X4+...+1/99X100
=1-1/2+1/2-1/3+1/3-1/4+.+1/99-1/100
=1-1/100
=99/100

0.99

1-1/2+1/2-1/3+,,,,,,,+1/99-1/100=99/100

1/2+1/2X3+1/3X4+...+1/99X100
=1-1/2+1/2-1/3+1/3-1/4+....+1/99-1/100
=1-1/100
=99/100

1/2+1/2X3+1/3X4+...+1/99X100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+....+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+....+1/99-1/100
=1-1/100
=99/100
谢谢采纳

1/2+1/2X3+1/3X4+...+1/99X100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+....+(1/99-1/100)
=99/100
=0.99
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