Answer to Question #2233 in Real Analysis for vijay

Question

Show that the convergence of a series is not affected by changing a finite number of its terms

Answer 1

Assume the series Ak as convergent;& let's denote the parital sum from n=1 to n=k, where k is the largest term of changed terms as Sk and the partial sum from k+1 to infinity& as Sn. As Sk is bounded, we can discard Sk without changing of convergency of Ak.