MACLAURIN AND TAYLOR SERIES
Elementary Functions
Most of the functions that we have been dealing in this class are so called elementary functions.
Definition. An elementary function is a function that are polynomials, power functions, ratio- nal functions, trigonometric funcitions, inverse trigonometric functions, exponential functions, logarithmic functions, and all functions that can be obtained from these functions by addition, substraction, multiplication, division and composition.
For example, the function
√ ex log15(sin(e ) f(x) = ln(ln(ln(ln(cos ex + cosh x)))) − xπ is an elementary function.