The equivalent definition of the function f(x)= _ n x^n-x^ -n x^n+x^ -n , x>0, is

JEE Main Mathematics question

The equivalent definition of the function , , is

Answer: (C)

Consider the three cases for separately, since behaves differently on either side of 1. If : and ; dividing numerator and denominator by gives

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Question ID VK-007603