Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
anº Problem 1.19. Prove that if 1 an <∞o, then 1 |an|P <∞ for all p > 1. Is the converse true?

anº Problem 1.19. Prove that if 1 an <∞o, then 1 |an|P <∞ for all p > 1. Is the converse true?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Problem 1.19. Prove that if n-1 |an| <∞o, then 1 |an|P <∞ for all p > 1. Is the converse true? Prove that if 1 a converges, then 1 an/n converges absolutely. moldo19 8 n=1
Transcribed Image Text:Problem 1.19. Prove that if n-1 |an| <∞o, then 1 |an|P <∞ for all p > 1. Is the converse true? Prove that if 1 a converges, then 1 an/n converges absolutely. moldo19 8 n=1
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS