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CalculusSuperchallengeLimits and Continuity

Limits and Continuity · Superchallenge problem

Evaluate lim⁡x→∞x(x2+2x−2x2+x+x)\displaystyle\lim_{x\to\infty}x\left(\sqrt{x^2+2x}-2\sqrt{x^2+x}+x\right).