An Asymptotic Study on the Ratio of Consecutive Terms in Mixed Exponential-Power Sequences Centered on the Definition of the Natural Constant e | Synapse
February 17, 2026Open Access
An Asymptotic Study on the Ratio of Consecutive Terms in Mixed Exponential-Power Sequences Centered on the Definition of the Natural Constant e
Key Points
The study aims to explore the behavior of ratios in mixed exponential-power sequences focusing on the natural constant e.
Conducted an asymptotic analysis of mixed exponential-power sequences.
Examined the limit behavior of ratios of consecutive terms.
Applied mathematical definitions related to the natural constant e.
Identified specific patterns in the ratios of consecutive terms.
Revealed the significance of the natural constant e in these sequences.
Provided insights on the long-term behavior of these mathematical sequences.
Abstract
An Asymptotic Study on the Ratio of Consecutive Terms in Mixed Exponential-Power Sequences Centered on the Definition of the Natural Constant e.