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Evaluate: lim(x rarr 1)(loge x)/(x-1)...

Evaluate: `lim_(x rarr 1)(log_e x)/(x-1)`

Text Solution

Verified by Experts

The correct Answer is:
`1`

`lim_(x rarr 1)(log_e x)/(x-1)`
`=lim_(x rarr 1)(1/x)/(1)`
`=lim_(x rarr 1)(1/x)`
`=1`
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