Limit superior and limit inferior

  • Context: MHB 
  • Thread starter Thread starter Suvadip
  • Start date Start date
  • Tags Tags
    Limit
Click For Summary
SUMMARY

The discussion focuses on the concepts of greatest lower bound, least upper bound, greatest limit point, and least limit point for the sequence {3/2, 5/2, 5/3, 7/3, 7/4, 9/4, 9/5, 11/5, 11/6,...}. The correct answers identified are 3/2 for the greatest lower bound, 5/2 for the least upper bound, and both the greatest limit point and least limit point as 2. The participants confirm the accuracy of these findings, establishing a clear understanding of these mathematical concepts.

PREREQUISITES
  • Understanding of sequences and series in mathematics
  • Knowledge of limit points in real analysis
  • Familiarity with the concepts of bounds in mathematical sets
  • Basic proficiency in mathematical notation and terminology
NEXT STEPS
  • Study the properties of limit points in real analysis
  • Explore the concept of supremum and infimum in set theory
  • Learn about convergence and divergence of sequences
  • Investigate the applications of bounds in optimization problems
USEFUL FOR

Students of mathematics, particularly those studying real analysis, educators teaching mathematical concepts, and anyone interested in understanding limits and bounds in sequences.

Suvadip
Messages
68
Reaction score
0
Find the greatest lower bound, least upper bound, greatest limit point, least limit point of the following
{3/2,5/2,5/3,7/3,7/4,9/4,9/5,11/5,11/6,...}

I have found the respective answers as 3/2, 5/2, 2,2 . Am I right?
 
Physics news on Phys.org
suvadip said:
Find the greatest lower bound, least upper bound, greatest limit point, least limit point of the following
{3/2,5/2,5/3,7/3,7/4,9/4,9/5,11/5,11/6,...}

I have found the respective answers as 3/2, 5/2, 2,2 . Am I right?
Yes. (Happy)
 

Similar threads

Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
17
Views
2K
Replies
4
Views
2K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
6K
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K