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Let f(x)=lim(n to oo ) {(n^(n)(x+n)(x...

Let
`f(x)=lim_(n to oo ) {(n^(n)(x+n)(x+(n)/(2))....(x+(n)/(2)))/(n!(x^(2)+n^(2))(x^(2)+(n^(2))/(4))...(x^(2)+(n^(2))/(n^(2))))}^(x//n)`for all `x gt0`. Then,

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