化简:+2×2!+3×3!+……+n×n!
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化简:+2×2!+3×3!+……+n×n!化简:+2×2!+3×3!+……+n×n!化简:+2×2!+3×3!+……+n×n!原式=(2-1)×1!+(3-1)×2!+……+(n+1-1)×n!=2×
化简:+2×2!+3×3!+……+n×n!
化简:+2×2!+3×3!+……+n×n!
化简:+2×2!+3×3!+……+n×n!
原式=(2-1)×1!+(3-1)×2!+……+(n+1-1)×n!
=2×1!+3×2!+……+(n+1)×n!-1!-2!-……n!
=2!+3!+……(n+1)!-1!-2!-……-n!
=(n+1)!-1
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