Category:Abel's Limit Theorem
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This category contains pages concerning Abel's Limit Theorem:
Let $\ds \sum_{k \mathop = 0}^\infty a_k$ be a convergent series in $\R$.
Then:
- $\ds \lim_{x \mathop \to 1^-} \paren {\sum_{k \mathop = 0}^\infty a_k x^k} = \sum_{k \mathop = 0}^\infty a_k$
where $\ds \lim_{x \mathop \to 1^-}$ denotes the limit from the left.
Source of Name
This entry was named for Niels Henrik Abel.
Subcategories
This category has only the following subcategory.
Pages in category "Abel's Limit Theorem"
The following 4 pages are in this category, out of 4 total.