DEFINITION 12.2.1 If, as n∞, the sequence of partial sums tends to a finite limit L, we write and say that the series n Sn Σακ k=0 Σ ak = L k=0 Σακ k=0 converges to L. We call L the sum of the series. If the sequence of partial sums diverges, we say that Remark limit. the series Σ ak diverges. k=0 NOTE: The sum of a series is not a sum in the ordinary sense. It is a

DEFINITION 12.2.1 If, as n∞, the sequence of partial sums tends to a finite limit L, we write and say that the series n Sn Σακ k=0 Σ ak = L k=0 Σακ k=0 converges to L. We call L the sum of the series. If the sequence of partial sums diverges, we say that Remark limit. the series Σ ak diverges. k=0 NOTE: The sum of a series is not a sum in the ordinary sense. It is a

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

See similar textbooks