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Mathematical Constant e

e (mathematical constant). e is the unique number a, such that the value of the derivative (the slope of the tangent line) of the exponential function f (x) = ax (blue curve) at the point x=0 is exactly 1. For comparison, functions 2x (dotted curve) and 4x (dashed curve) are shown; they a

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Mathematical Constant e

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    1. Mathematical Constant e e (mathematical constant), Stirling formula, Asymptotics.

    2. e (mathematical constant) e is the unique number a, such that the value of the derivative (the slope of the tangent line) of the exponential function f (x) = ax (blue curve) at the point x=0 is exactly 1. For comparison, functions 2x (dotted curve) and 4x (dashed curve) are shown; they are not tangent to the line of slope 1 (red).

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