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Evaluate: lim(x->e)(logx-1)/(x-e)...

Evaluate: `lim_(x->e)(logx-1)/(x-e)`

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`lim_(x->e)(logx-1)/(x-e)`
`=lim_(x->e)(logx-log e)/(x-e)`
`=lim_(y->0) (log(y+e)- log e)/(y+e-e)`
`=lim_(y->0)(log((y+e)/e))/(y)`
`=lim_(y->0)(log(1+y/e))/(y/e xx e)`
`=1/e`
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