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Results tagged with limits-and-convergence
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user 50820
Convergence of series, sequences and functions and different modes of convergence.
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Exchange limit and sum in certain conditions
Let
$\sum_{i=1}^{\infty} f_i(s)$ be a series of analytic functions and suppose it converges on some neighbourhood $V$ of $s=0$ and it converges uniformly on $V\cap\{s \;|\; |s|> \varepsilon \}$ for ev …
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