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The value of lim(xrarr0)(1^x+2^x+3^x+......

The value of `lim_(xrarr0)(1^x+2^x+3^x+...+n^x)^(a//x)/n`, is:

A

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

B

`n!`

C

`a^(n!)`

D

doesn't exists

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The correct Answer is:
A
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