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underset(xtoe)lim(lnx-1)/(x-e) is...

`underset(xtoe)lim(lnx-1)/(x-e)` is

A

e

B

`(1)/(e)`

C

`e^(2)`

D

`(1)/(e^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
`(ln((x)/(e)))/(e((x)/(e)-1))," Let "(x)/(e)-1=t" "rArr underset(trarr0)(lim)(ln(1+t))/(et)=(1)/(e)`
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