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Series Behavior with the n-th Term Test: Divergence Test

Series Behavior with the n-th Term Test: Divergence Test

The n-th Term Test is a fundamental tool in determining whether a series converges or diverges. It examines the behavior of the terms in a series as \(n\) approaches infinity. Specifically, if the limit of the n-th term \(a_n\) does not approach zero, the series diverges. However, if \(\lim_{n \to \infty}\) a_\(n = 0\), the […]