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CalculusSuperchallengeLimits and Continuity

Limits and Continuity · Superchallenge problem

Evaluate lim⁡x→∞((x+1)(x+2)(x+3)(x+4)4−x)\displaystyle\lim_{x\to\infty}\left(\sqrt[4]{(x+1)(x+2)(x+3)(x+4)}-x\right).