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Results tagged with real-analysis
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user 508046
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Continuity of a rational function
This is a simple question. Given a real valued rational function
$$
f (x) = \frac{p(x)}{q(x)}\quad x\in\mathbf R^N,
$$
this is called regular on a point if the denominator $q$ does not vanish there. W …
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