Abel Summation
Abel Summation is a mathematical technique used to evaluate infinite series. It connects the sum of a series to the behavior of a related function, often making it easier to analyze convergence. The method is particularly useful for series that may not converge in the traditional sense but can be understood through limits.
The process involves defining a function based on the series and then examining its limit as a variable approaches a certain value. This approach can reveal insights about the series' sum, especially in cases where direct summation is challenging or impossible.