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Let f(x)=(1+(1)/(x))^(x)(xgt0) and g(x){...

Let `f(x)=(1+(1)/(x))^(x)(xgt0)` and `g(x){:[(xIn(1+(1//x))",",if0ltxle1),(" "0",",ifx=0):}`
`lim_(n to oo){f((1)/(n)).f((2)/(n)).f((3)/(n))...f((n)/(n))}^(1//n)`equals

A

`sqrt(2)e`

B

`sqrt(2e)`

C

`2sqrt(e)`

D

`sqrt(e)`

Text Solution

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