Elementary discrete and continuous interplay

TL;DR

This paper explores the relationship between discrete and continuous problems by analyzing the asymptotic behavior of divergent sequences through their continuous analogues, providing a new perspective on their interplay.

Contribution

It introduces a method to study the asymptotics of divergent sequences via their continuous counterparts, bridging discrete and continuous analysis.

Findings

Demonstrates the effectiveness of the method on specific sequences

Provides insights into the asymptotic behavior of divergent sequences

Establishes a framework connecting discrete and continuous asymptotics

Abstract

We illustrate the interplay between certain discrete and continuous problems, by presenting a method for the study of the asymptotics of a divergent sequence, through consideration of the asymptotics of its continuous analogue