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 formal Washington dinner party has all the spontaneity of a Japanese imperial funeral.
    Simon Hoggart (b. 1946)

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)