◀ ▲ ▶Branches / Analysis / Definition: Divergent Sequences

applicability: $\mathbb {N, Z, Q, R}$

Definition: Divergent Sequences

A real sequence \((x_n)_{n\in\mathbb N}\) is called divergent, if it does not converge to any real number.

Table of Contents

Examples: 1

1. Definition: Sequences Tending To Infinity
2. Proposition: Convergence Behavior of the Inverse of Sequence Members Tending to Zero
3. Proposition: Sum of a Convergent Real Sequence and a Real Sequence Tending to Infininty
4. Proposition: Product of a Convergent Real Sequence and a Real Sequence Tending to Infinity

Mentioned in:

Definitions: 1
Examples: 2
Proofs: 3
Propositions: 4

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983