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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
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983