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limit_in_a_metric_space [2016/03/20 11:04]
nikolaj
limit_in_a_metric_space [2017/02/02 21:25] (current)
nikolaj
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 === Examples === === Examples ===
-$\sum_{k=1}^\infty ​a_n = y$+$\sum_{k=1}^\infty ​a_k = y$
  
 means means
  
-$ \forall (\varepsilon\in{\mathbb R}_{>​0}).\,​\exists (m\in{\mathbb N}).\,​\forall (n\ge_{\mathbb N} m).\,| \sum_{k=1}^n ​a_n - y \, |<​\varepsilon $+$ \forall (\varepsilon\in{\mathbb R}_{>​0}).\,​\exists (m\in{\mathbb N}).\,​\forall (n\ge_{\mathbb N} m).\,| \sum_{k=1}^n ​a_k - y \, |<​\varepsilon $
  
 == Infinite sum == == Infinite sum ==
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