化简2/1!+2/3!+...+n/(n+1)!1/2!+2/3!+...+n/(n+1)!
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化简2/1!+2/3!+...+n/(n+1)!1/2!+2/3!+...+n/(n+1)!化简2/1!+2/3!+...+n/(n+1)!1/2!+2/3!+...+n/(n+1)!化简2/1!+2
化简2/1!+2/3!+...+n/(n+1)!1/2!+2/3!+...+n/(n+1)!
化简2/1!+2/3!+...+n/(n+1)!
1/2!+2/3!+...+n/(n+1)!
化简2/1!+2/3!+...+n/(n+1)!1/2!+2/3!+...+n/(n+1)!
第一个是1/2!
n/(n+1)!
=[(n+1)-1]/(n+1)!
=(n+1)/(n+1)!-1/(n+1)!
=1/n!-1/(n+1)!
所以=1/1!-1/2!+……+1/n!-1/(n+1)!
=1-1/(n+1)!
N/（N+1）！这公式不对吧，第一项就不对
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