e is a transcendental number (approximately 2.71... ).
When e is raised to any power (x), its slope is equal to the value of the function at that particular point y(x)=exp(x).
If we raise e to a multiple of x, the derivative is the same function multiplied by that multiple.
This function may be described as having an infinite number of derivatives.
Euler posed the question, what would happen if we set n to be the square root of -1 (a purely imaginary number). It would have to have the same properties we have described above.
