We were working with L'hospital's rule and my teacher said that the teacher before him told him that this was true:(adsbygoogle = window.adsbygoogle || []).push({});

lim (x→∞) [ln u] = ln ( lim (x→∞) u), where u is a continuous function.

My teacher has never found a proof for this, although it works every time. Does anyone know how to prove this? Thanks!

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# How would I prove that ln (lim (u)) = lim (ln (u))

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