lecture 33R: Continuing to radius of convergence, The differentiability Theorem, Term-by-term integration. Integration and differentiation have same radius of convergence, but not the same interval of convergence. In the interval of convergence, power series is the Taylor series of its sum.
Title
lecture 33R: Continuing to radius of convergence, The differentiability Theorem, Term-by-term integration. Integration and differentiation have same radius of convergence, but not the same interval of convergence. In the interval of convergence, power series is the Taylor series of its sum.