Find lim⁡x→∞(ln⁡xx+sin⁡xx)\displaystyle\lim_{x\to\infty}\left(\frac{\ln x}{\sqrt{x}}+\frac{\sin x}{x}\right).…

Mathematics

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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