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Corollary: Reciprocity of Exponential Function of General Base, Non-Zero Property
(related to Proposition: Functional Equation of the Exponential Function of General Base)
The exponential function of general base \(a > 0 \) is never zero (non-zero property) \[\exp_a(x)\neq 0\] for all \(x\in\mathbb R\), and it fulfills the following reciprocity law:
\[\exp_a(-x)=\frac1{\exp_a(x)}.\]
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
