Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not converge to any real n-00 number.

See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not converge to any real n-00 number.

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

Please follow the instructions. Thank you!

See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not converge to any real n-00 number.
Transcribed Image Text:See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not converge to any real n-00 number.
Definition 3.1.2: We say a sequence (an)-1 diverges to infinity, and write lim an = 00 if for every positive number A, there exists a positive integer M such n-00 that an > A for all integer n 2 M. lim an = -o if lim (-an) = 0. %3D n-00
Transcribed Image Text:Definition 3.1.2: We say a sequence (an)-1 diverges to infinity, and write lim an = 00 if for every positive number A, there exists a positive integer M such n-00 that an > A for all integer n 2 M. lim an = -o if lim (-an) = 0. %3D n-00
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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