Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Determine whether the sequences in Exercises 63–74 are monotonic or not. Also determine whether the given sequence is bounded or unbounded.

cos2πkk

Short Answer

Expert verified

The given sequence is not a monotonic sequence but it is a bounded sequence.

Step by step solution

01

Step 1. Given Information. 

The given sequence iscos2πkk.

02

Step 2. Determine whether the sequences are monotonic or not.

The given sequence is not a monotonic sequence because the sign of cos2πkk differs as kincreases.

03

Step 3. Determine whether the given sequence is bounded or unbounded.   

The given sequence is bounded because-1cos2πk1,-1kcos2πkk1k.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free