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Let `x in(1,oo)` and `n` be a positive integer greater than `1`. If `f_n (x) =n/(1/log_2x+1/log_3x+...+1/log_nx)` , then `(n!)^(f_n (x))`equals to
A. `n^(x)`
B. `x^(n)`
C. `n^(n)`
D. `n^(nx)`

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1 Answer

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Correct Answer - B

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