Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.2 Series - 11.2 Exercises: 2

Answer

It means that this infinite series converges and its sum is equal to $5$. In other words, the sum of the terms is 5 or for precision (since we cannot sum infinite number of terms and get a finite result precisely) the limit of the nth partial sum is equal to $5$. (Check page 748, definition 2)

Work Step by Step

It means that this infinite series converges and its sum is equal to $5$. In other words, the sum of the terms is 5 or for precision (since we cannot sum infinite number of terms and get a finite result precisely) the limit of the nth partial sum is equal to $5$. (Check page 748, definition 2). FOR MORE CLARIFICATION: Definition 2 basically explains that if the limit of the nth partial sum of a given infinite series exists and equals a real number that means that the given series is convergent and the result of that limit of the partial sum is the sum of the infinite series.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.