AP

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

Problem

Find lim⁡x→∞(ln⁡xx+sin⁡xx)\displaystyle\lim_{x\to\infty}\left(\frac{\ln x}{\sqrt{x}}+\frac{\sin x}{x}\right). (a) ∞\infty (b) 11 (c) 00 (d) The limit does not exist because sin⁡x\sin x oscillates indefinitely.

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