1/2!+2/3!+3/4!+.+n/(n+1)!求和

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1/2!+2/3!+3/4!+.+n/(n+1)!求和
1/2!+2/3!+3/4!+.+n/(n+1)!求和

1/2!+2/3!+3/4!+.+n/(n+1)!求和
1/2!+2/3!+3/4!+.+n/(n+1)!
=1/2!+2/3!+3/4!+.+n/(n+1)!+1/(n+1)!-1/(n+1)!
=1/2!+2/3!+3/4!+.+1/n!-1/(n+1)!
=1-1/(n+1)!