proof ##\ln x##<=x-1 for positive x.(adsbygoogle = window.adsbygoogle || []).push({});

if i show that at the start of the segment, the value in the start of the segment (0, +inf), of inx is smaller than x-1, and the derivative of inx is always smaller than x-1, is that suffice to proof that inx is always smaller than x-1? if not why?

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# I Prove ln(x) <= x-1 for positive x

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