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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?

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

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lim_(n rarr oo)(1+(x)/(n))^(n)

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Let for all x gt 0, f(x)=lim_(nrarroo)n^((x^((1)/(n))-1)) , then