350 likes | 772 Views
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
E N D
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).