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

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