transcendental function
[transcendental function|transcendental function] [transcendental function] refers to the most common functions including trigonometric, exponential, and logarithmic types.
Definition
transcendental function [transcendental function] refers to the most common functions including trigonometric, exponential, and logarithmic types. These functions are characterized by their behavior in evaluating limits as x approaches infinity.
Mechanism
Trigonometric, exponential, and logarithmic functions are examples of transcendental function. Polynomial functions with degree n>1 satisfy f(x) ~ too as x approaches infinity. Find the limits as x approaches infinity and negative infinity for f(x) = 3e^x - 42.
Effects
transcendental function [transcendental function] affects the behavior of functions as x approaches infinity, as seen in determining end behavior for transcendental functions. The six basic trigonometric functions, which are periodic and do not approach a finite limit, are classified as transcendental functions.