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)
“The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.”
—Samuel Taylor Coleridge (17721834)