Double Exponential Function
A double exponential function is a constant raised to the power of an exponential function. The general formula is, which grows much more quickly than an exponential function. For example, if a = b = 10:
- f(−1) ≈ 1.26
- f(0) = 10
- f(1) = 1010
- f(2) = 10100 = googol
- f(3) = 101000
- f(100) = 1010100 = googolplex.
Factorials grow faster than exponential functions, but much slower than double-exponential functions. The hyper-exponential function and Ackermann function grow even faster. See Big O notation for a comparison of the rate of growth of various functions.
The inverse of a double exponential function is a double logarithm.
Read more about Double Exponential Function: Doubly Exponential Sequences
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