On the Solving Process of the Summation Function of Power Series
Solving summation function through power series operation is one of the difficult points in the study of Mathematical Analysis.By the way of classification and enumeration and according to two properties of power series,it is uniformly convergent in any closed interval in the convergence domain;the radius of convergence remains the same after derivation and integration term by term,but the convergence domain may change.Summarizing the solution of finding power series and functions from four perspectives can form a more comprehensive problem-solving strategy,which is conducive to helping learners to master the operation of power series.
power series operationconvergence domainsummation function