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

21 votes
3 answers
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What is the set of all "pseudo-rational" numbers (see details)?

Define a “pseudo-rational” number to be a real number $q$ that can be written as $q=\sum_{n=1}^{\infty} \frac{P(n)}{Q(n)}$ Where $P(x)$ and $Q(x)$ are fixed integer polynomials (independent of n). A …
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