lim(xrarr0)((x-1+cosx)/(x))^(1//x)...

`lim_(xrarr0)((x-1+cosx)/(x))^(1//x)`

A

e

B

`sqrte`

C

`(1)/(sqrte)`

D

`e^(2)`

Verified by Experts

The correct Answer is:

C

`lim_(xrarr0)((1-1+cosx)/(x))^(1//x)(1^(oo)), e^(lim_(xrarr0))((x-1+cosx)/(x)-1)(1)/(x)=e^(lim_(xrarr0)((1-cosx))/(x^(2)))=e^(-1//2)`

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