👉 Taylor series is a mathematical technique that approximates a function using an infinite sum of terms, each term being a polynomial function of the variable (often x) raised to a power determined by a sequence of coefficients. These coefficients are typically derived from the function's derivatives at a specific point, known as the center of expansion. The series converges to the function within a certain radius around this center, allowing for accurate approximations of complex functions using simpler polynomial expressions. This method is widely used in calculus, numerical analysis, and various applications like physics and engineering to solve differential equations and integrate functions that are difficult to handle analytically.
