计算:2/(1×2)+2/(2×3)+2/(3×4)…+2/(99×100)的值为( ).
1个回答
2/(1×2)+2/(2×3)+2/(3×4)…+2/(99×100)
=2(1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100)
=2(1-1/100)
=99/50
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