The sum of exponential functions is a powerful technique in mathematical modeling that combines the versatility of exponential functions with the concept of infinite series. It involves expressing a function as a sum of exponential terms with different decay rates, allowing for flexible and accurate modeling of complex phenomena such as population growth, radioactive decay, and chemical reactions. By utilizing convergence tests and advanced mathematical tools like Taylor series and Fourier transforms, this method provides a deep and insightful understanding of real-world processes.
