Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.8 - Power Series - 11.8 Exercises - Page 752: 33



Work Step by Step

For the interval of convergence $[0,\infty)$ we should have $a-R=0$ and $a+R=\infty$ which implies both $a=R=\infty$ Although we can have $R=\infty$ but $a\ne\infty$ Thus, we cannot have a power series with the interval of convergence $[0,\infty)$.
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.