Employing the Limit Comparison Test to Analyze Series Convergence
The Limit Comparison Test is a technique used to determine whether a series converges or diverges by comparing it to another series with known behavior. You examine the ratio of the terms of both series as the terms approach infinity. If the ratio approaches a positive, finite number, both series will behave the same in […]
Mastering Series Convergence with the Ratio Test
The Ratio Test is used to determine whether an infinite series converges or diverges by examining the ratio between consecutive terms. You calculate the limit of the ratio of each term to the previous one as the terms increase. If the ratio is less than one, the series converges. If it’s greater than one, the […]
