MathDB
f has no local extrema and limits at any point

Source:

December 8, 2010
functionlimitreal analysisreal analysis unsolved

Problem Statement

Let f:Rā†’Rf:\mathbb{R}\rightarrow\mathbb{R} be a function that has limits at any point and has no local extrema. Show that: a)a) ff is continuous; b)b) ff is strictly monotone.
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