AP

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Compute lim⁡x→∞(ln⁡ ⁣(x+x2+1)−ln⁡x)\displaystyle\lim_{x\to\infty}\left(\ln\!\left(x+\sqrt{x^{2}+1}\right)-\ln x\right). (a) 00 (b) ∞\infty (c) ln⁡2\ln 2 (d) 12\dfrac{1}{2}

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