The use of the Limit of a Sequence in Computer Science
Session
Computer Science and Communication Engineering
Description
Mathematics is a very fundamental and key component to understanding how parts of different programmable operations work, therefore by acknowledging the fast pace at which technology is developing, this is the main reason we have chosen this topic. This paper is a deep dive into “What is the limit of a sequence?” and its role in Computer Science. Going into this project without the full picture of what the limit of a sequence contributes in Computer Science might just be a blind lead but if we think about it, limits are a key component. In algorithms limits are very helpful in understanding how the running time grows when the input increases too much forming the basis of The Big O, Omega and Theta. Arrays in the other hand, use limits to explain the average cost of operations when resizing happens, whereas in memory and caching systems limits help describe how performance changes as data grows and how access time can be optimized. While in databases the use of limits can reduce unnecessary load and make queries more efficient. With having known all this now we can see how the limit of a sequence helps Computer Science predict performance, improve optimization, and build systems that can handle large data.
Keywords:
Limit of a Sequence, Computer Science, Algorithms, Arrays, Memory optimization, Databases, Performance prediction
Proceedings Editor
Edmond Hajrizi
ISBN
978-9951-982-41-2
Location
UBT Lipjan, Kosovo
Start Date
25-10-2025 9:00 AM
End Date
26-10-2025 6:00 PM
DOI
10.33107/ubt-ic.2025.87
Recommended Citation
Plakolli, Don; Maloku, Erona; and Leka, Hizer, "The use of the Limit of a Sequence in Computer Science" (2025). UBT International Conference. 19.
https://knowledgecenter.ubt-uni.net/conference/2025UBTIC/CS/19
The use of the Limit of a Sequence in Computer Science
UBT Lipjan, Kosovo
Mathematics is a very fundamental and key component to understanding how parts of different programmable operations work, therefore by acknowledging the fast pace at which technology is developing, this is the main reason we have chosen this topic. This paper is a deep dive into “What is the limit of a sequence?” and its role in Computer Science. Going into this project without the full picture of what the limit of a sequence contributes in Computer Science might just be a blind lead but if we think about it, limits are a key component. In algorithms limits are very helpful in understanding how the running time grows when the input increases too much forming the basis of The Big O, Omega and Theta. Arrays in the other hand, use limits to explain the average cost of operations when resizing happens, whereas in memory and caching systems limits help describe how performance changes as data grows and how access time can be optimized. While in databases the use of limits can reduce unnecessary load and make queries more efficient. With having known all this now we can see how the limit of a sequence helps Computer Science predict performance, improve optimization, and build systems that can handle large data.