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Proposition: Bounds for Partial Sums of Exponential Series

For all natural numbers $n\ge 1$, the following inequality holds $$\left(1+\frac 1n\right)^n\le \sum_{k=0}^n\frac 1{k !} < 3.$$

Table of Contents

Proofs: 1

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References

Bibliography

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