\x0c1╱1×2+1╱2×3+1╱3×4……+1╱49×50用简便法杂算
4个回答
用裂项法
1╱1×2+1╱2×3+1╱3×4……+1╱49×50
=1-1/2+1/2-1/3+...+1/49-1/50
=1-1/50
=49/50
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