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:
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—Charles, Jr. Feidelson, U.S. educator, critic. Symbolism and American Literature, ch. 1, University of Chicago Press (1953)
“The very definition of the real becomes: that of which it is possible to give an equivalent reproduction.... The real is not only what can be reproduced, but that which is always already reproduced. The hyperreal.”
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