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lim(x rarr 0) [(1^(x)+2^(x) + 3^(x)+ cdo...

`lim_(x rarr 0) [(1^(x)+2^(x) + 3^(x)+ cdots+ n^(x) )/(n) ]^(1/x)` is equal to

A

`(n!)^(a//n)`

B

`(n!)^(a)`

C

`(1)/(2a(n!))`

D

None of these

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The correct Answer is:
A
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