求解:1-1/2×1/3-1/3×1/4-1/4×1/5……1/10×1/11=?要过程

如题所述

1-(1/(1×2))-(1/(2×3))-(1/(3×4))-(1/(4×5))……(1/(10×11))=1-(1-1/2)-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)……(1/10-1/11)=1-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5……-1/10+1/11=1/11
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