Exponential of One

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Theorem

Let $\exp x$ be the exponential of $x$.


Then:

$\exp 1 = e$

where $e$ is Euler's number: $e = 2.718281828\ldots$


Proof

We have that the exponential function is the inverse of the natural logarithm function:

$\ln e = 1$

Hence the result.

$\blacksquare$


Sources