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\[\large \lim_{ x\to \infty }\frac { n{ x }^{ n }-{ (n-1)x }^{ n-1 }+{ (n-2)x }^{ n-2 }-\cdots+2{ x }^{ 2 }-x+3 }{ { (n+1)x }^{ n+1 }+nx^n+(n-1){ x }^{ n-1 }+\cdots+x+5 } = \, ? \]

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