The radius of convergence is the hidden boundary where an infinite polynomial stops behaving like a function. In this Woody Calculus visual lesson, learn how power series are built around a center, how the Ratio Test finds R, why endpoints must be tested separately, and how to find the full interval of convergence.
Taylor Series turn complicated functions into polynomial patterns. Learn how local derivative information at one point can build powerful approximations for e^x, sin x, ln(1+x), physics, finance, and Differential Equations.

