宁波鄞州副区长金伟杰:化简:1/2!+2/3!+......+10/11!+1/11!

来源：百度文库 编辑：高校问答 时间：2024/05/04 12:42:18
写一下步骤,谢谢了~~~

原式
=1/2!+2/3!+......+(10+1)/11!
=1/2!+2/3!+......+9/10!+11/11!
=1/2!+2/3!+......+9/10!+1/10!
=1/2!+2/3!+......+(9+1)/10!
=1/2!+2/3!+......+10/10!
=……
=1/2!+1/2!
=2/2!
=1

1/2!+2/3!+......+10/11!+1/11!
=1-1/2+1/2-1/6+1/6-1/24+1/24-1/120……+1/10!-1/11!+1/11!
=1

1/2!+2/3!+......+10/11!+1/11!
=1-1/2+1/2-1/6+1/6-1/24+1/24-1/120……+1/10!-1/11!+1/11!
=1

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