Exponential Function - Double Exponential Function

The term double exponential function can have two meanings:

  • a function with two exponential terms, with different exponents
  • a function f(x) = aax; this grows even faster than an exponential function; for example, if a = 10: f(−1) = 1.26, f(0) = 10, f(1) = 1010, f(2) = 10100 = googol, ..., f(100) = googolplex.

Factorials grow faster than exponential functions, but slower than double-exponential functions. Fermat numbers, generated by and double Mersenne numbers generated by are examples of double exponential functions.

Read more about this topic:  Exponential Function

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