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Evaluate: lim(x→∞) (((x + 1)^10 + (x + 2)^10 + ... + (x + 2012)^10)/(x^10 + 2012^10))

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Evaluate: lim(x→∞) (((x + 1)10 + (x + 2)10 + ... + (x + 2012)10)/(x10 + 201210))

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lim(x→∞) (((x + 1)10 + (x + 2)10 + ... + (x + 2012)10)/(x10 + 201210))

 lim(x→∞) (((1 + 1/x)10 + (1 + 2/x)10 + ... + (1 + 2012/x)10)/(1 + (2012/x)10))

= 2012

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