Mathegoras

Calculus › Limits of functions › Differences of square roots

Limit of nested square roots

University · ●●○○○ 20 pts

Find lim⁡x→∞(x+x+x−x)\lim_{x\to\infty}\left(\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right).

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limits at infinityrationalising denominatorsnested radicals