Category:Series
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This category contains results about Series.
Definitions specific to this category can be found in Definitions/Series.
Let $\struct{S, \circ}$ be a semigroup.
Let $\sequence{a_n}$ be a sequence in $S$.
Informally, a series is what results when an infinite product is taken of $\sequence {a_n}$:
- $\ds s := \sum_{n \mathop = 1}^\infty a_n = a_1 \circ a_2 \circ a_3 \circ \cdots$
Formally, a series is a sequence in $S$.
Subcategories
This category has the following 14 subcategories, out of 14 total.
A
C
D
H
L
M
P
S
T
Pages in category "Series"
The following 34 pages are in this category, out of 34 total.
C
- Cauchy Condensation Test
- Cauchy Product of Absolutely Convergent Series
- Comparison Test
- Comparison Test/Corollary
- Convergence of Square of Linear Combination of Sequences whose Squares Converge
- Convergent Sequence with Finite Number of Terms Deleted is Convergent
- Convergent Series can be Added Term by Term
- Convergent Series of Natural Numbers