Exponential Function - Formal Definition

Formal Definition

The exponential function ex can be characterized in a variety of equivalent ways. In particular it may be defined by the following power series:

Using an alternate definition for the exponential function leads to the same result when expanded as a Taylor series.

Less commonly, ex is defined as the solution y to the equation

It is also the following limit:

Read more about this topic:  Exponential Function

Famous quotes containing the words formal and/or definition:

    The bed is now as public as the dinner table and governed by the same rules of formal confrontation.
    Angela Carter (1940–1992)

    I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.”
    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)