Taylor Series (Mathematics)

A Taylor Series is a mathematical tool that approximates a complex function by adding together a sequence of simpler terms—specifically, polynomials—centered around a specific point. It uses the function's value and its derivatives at that point to create a polynomial that closely matches the original function near that point. Think of it as a way to zoom in on a curve and represent it with a sum of easy-to-understand parts, making calculations and predictions more manageable, especially when the original function is complicated or hard to compute directly.