ThmDex – An index of mathematical definitions, results, and conjectures.

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Standard natural basic real exponential function is escapes to positive infinity at positive infinity

Formulation 0

Let

Then

$\begin{equation} e^x \to \infty \quad \text{ as } \quad x \to \infty \end{equation}$

Formulation 1

Let

Then

$\begin{equation} \exp(x) \to \infty \quad \text{ as } \quad x \to \infty \end{equation}$