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:
“Two clergymen disputing whether ordination would be valid without the imposition of both hands, the more formal one said, “Do you think the Holy Dove could fly down with only one wing?””
—Horace Walpole (1717–1797)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)