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If f (x) = lim ( n to oo) (n (n ^(1//n)-...

If `f (x) = lim _( n to oo) (n (n ^(1//n)-1))` for ` x gt 0,` then which of the following is/are true?

A

`f ((1)/(x))=0`

B

` f ((1)/(x)) =(1)/(f (x))`

C

`f ((1)/(x)) =-f (x)`

D

`f (xy)=f (x)+ f(y)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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