1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算
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1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算1/1*2+1/2*3+1/3*4+···+
1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算
1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算
1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算
1/(1×2)+1/(2×3)+1/(3×4)+...+1/(1000×1001)
=1-1/2+1/2-1/3+1/3-1/4+...+1/1000-1/1001
=1-1/1001
=1000/1001