what is the biggest power in two exponential polynomial is
Answers
Answer:
A double exponential function (red curve) compared to a single exponential function (blue curve).
A double exponential function is a constant raised to the power of an exponential function. The general formula is {\displaystyle f(x)=a^{b^{x}}=a^{(b^{x})}} f(x)=a^{{b^{x}}}=a^{{(b^{x})}}, which grows much more quickly than an exponential function. For example, if a = b = 10:
f(0) = 10
f(1) = 1010
f(2) = 10100 = googol
f(3) = 101000
f(100) = 1010100 = googolplex.
Factorials grow more quickly than exponential functions, but much more slowly than doubly exponential functions. However, tetration and the Ackermann function grow faster. See Big O notation for a comparison of the rate of growth of various functions.
The inverse of the double exponential function is the double logarithm ln(ln(x))