Category:Convergent Complex Sequences
Jump to navigation
Jump to search
This category contains results about Convergent Complex Sequences.
Definitions specific to this category can be found in Definitions/Convergent Complex Sequences.
Let $\sequence {z_k}$ be a sequence in $\C$.
$\sequence {z_k}$ converges to the limit $c \in \C$ if and only if:
- $\forall \epsilon \in \R_{>0}: \exists N \in \R: n > N \implies \cmod {z_n - c} < \epsilon$
where $\cmod z$ denotes the modulus of $z$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
C
E
Pages in category "Convergent Complex Sequences"
The following 7 pages are in this category, out of 7 total.
C
- Cauchy's Convergence Criterion/Complex Numbers
- Complex Sequence is Null iff Modulus of Sequence is Null
- Complex Sequence is Null iff Positive Integer Powers of Sequence are Null
- Convergence of Complex Conjugate of Convergent Complex Sequence
- Convergence of Modulus of Convergent Complex Sequence
- Convergence of Series of Complex Numbers by Real and Imaginary Part