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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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Real number which is different from all rationals [closed]

By diagonalization, it is possible to construct a real number $r \in [0,1]$ such that for every rational $q \in [0,1]$, there exists an index $i \in \mathbb{N}$ such that $r_i \neq q_i$ (where $x_i$ i …
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