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Proposition: Product of a Real Number and a Convergent Real Series

Let $\sum_{k=0}^\infty a_k$ be a convergent real series and let $\lambda$ be a real number. Then the real series $\sum_{k=0}^\infty (\lambda\cdot a_k)$ is also convergent.

Table of Contents

Proofs: 1

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References

Bibliography

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