👉 Extension math is a branch of mathematics that deals with the study of infinite series and sequences, particularly those that extend beyond finite terms. It explores how these mathematical constructs behave as they approach infinity, focusing on convergence properties and the sums of such series. This field is crucial in various areas of mathematics and its applications, including calculus, analysis, and numerical methods. By analyzing the behavior of sequences and series, extension math provides tools to approximate functions, solve differential equations, and understand complex phenomena in physics and engineering. Key concepts include the study of power series, Taylor series, Fourier series, and the conditions under which these series converge, such as the ratio test, root test, and integral test. Extension math bridges finite calculations with infinite representations, offering insights into the continuous nature of mathematical functions and their approximations.
