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Results tagged with real-analysis
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user 29804
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Does a weaker condition than vanishing derivative imply a function being constant?
I learned this question from math.stackexchange, which is equivalent to ask that if $f:[0,1]\to \mathbb{R}$ is a continuous function with bounded variation, does
$$g(x):=\lim_{\epsilon\to 0}\frac{f(x …
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