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Absolute minima & maxima (entire domain)

AP.CALC: FUN‑4 (EU), FUN‑4.A (LO), FUN‑4.A.3 (EK)
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Problem

Let g, left parenthesis, x, right parenthesis, equals, start fraction, natural log, left parenthesis, x, right parenthesis, divided by, x, end fraction.
What is the absolute maximum value of g ?
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