`lim_(xrarr0)((1^x+2^x+3^x+...+n^x)/n)^(1//x)`

A

`(n!)^n`

B

`(n!)^(1//n)`

C

`n!`

D

1

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

lim_(xrarr0)(tan x)/x =………

Evaluate lim_(x rarr 0) [(10^x - 2^x - 5^x + 1)/( x tanx)]

lim_(xrarr0)(sqrt(1+x)-1)/x

lim_(xrarr0)(e^(sinx)-1)/x

lim_(xrarr2)[x] =……...

Evalute lim_(xrarr0)((1-x)^n-1)/(x)

Evaluate lim_(x rarr 1) ((x + x^2 + .........+ x^n)-n)/(x - 1)

Evalute lim_(xrarr0)(sin^2 3x)/(x^2)