化简1/2!+2/3!+3/4!……+n-1/n!n大于等于2n属于N*

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化简1/2!+2/3!+3/4!……+n-1/n!n大于等于2n属于N*

化简1/2!+2/3!+3/4!……+n-1/n!n大于等于2n属于N*
化简1/2!+2/3!+3/4!……+n-1/n!
n大于等于2
n属于N*

化简1/2!+2/3!+3/4!……+n-1/n!n大于等于2n属于N*
1/2!+2/3!+3/4!……+n-1/n!
=(2-1)/2!+(3-1)/3!+(4-1)/4!+...+(n-1)/n!
=[2/2!-1/2!]+[3/3!-1/3!]+[4/4!-1/4!]+...+[n/n!-1/n!]
=1-1/2!+1/2!-1/3!+1/3!-1/4!+...+1/(n-1)!-1/n!
=1-1/n!