Limits of transcendental functions

Transcendental functions are mathematical functions that cannot be expressed algebraically through a finite number of algebraic operations, such as addition, subtraction, multiplication, division, and roots. These include exponential, logarithmic, trigonometric, and hyperbolic functions.

Their behavior and properties are often crucial in the study of limits, as they can exhibit complex patterns, asymptotic behaviors, and nontrivial limits at certain points. Below, you can see the limits of each transcendental function, studying the limits both at points in their domains and at infinity:

Limits of logarithmic functions

Limits of exponential functions

Limits of trigonometric functions

Fundamental trigonometric limit

Limits of hyperbolic functions