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VTRMC 2011 Problem 5

    Find lim⁡x→∞((2x)1+12x−x1+1x−x)\lim_{x\to\infty}\left((2x)^{1+\frac1{2x}}-x^{1+\frac1x}-x\right) .

    Dataset text AI-MO AoPS. Quoted with source.

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