 1540 Dynneson
 The Euler CircularReasoning Gap: The Exponential Revisited
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May 31, 15

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Abstract. Realizing that the derivatives of the exponential and logarithmic functions are invariably circular in their reasoning, what I set out to do was to attempt to "close the loop," by expanding the intuition to a level of abstraction not normally achieved at the Calculus I level. In fact, Euler's Formula is usually reserved for Calculus II at the earliest, and can be attained as an example of Taylor's Expansion. Instead, in the following discourse, Euler's Formula is derived by way of exponentialgrowth. Passing to the complexrealm and applying DeMoivre's Theorem, it inevitably becomes circular.
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