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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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476 views

Does function $f(x)=f(2x)$, $f(x)$ - non const, exist? ($f(x)$ - continuous function on real... [closed]

When I tried solve it I had found just answer "No". I spoke with some people but I cannot understand why the answer is exactly it... Frankly speaking, this function haunts me: $f(x) = abs((abs(x) - fl …
Dmitriy Shekhmatov's user avatar