The Taylor series is a mathematical tool that expresses a function as an infinite sum of terms calculated from its derivatives at a single point. Essentially, it approximates complicated functions using polynomials, where each term involves the function’s derivatives evaluated at the expansion point and powers of the distance from that point. For example, expanding around zero gives the Maclaurin series, a special case of the Taylor series. This method is especially useful because many functions

Every Calculus Student Should Learn This Series By Heart. The Beauty of Maclaurin Series #calculus | Math Avenue : Learn Math By Examples