**8.5: Alternating Series and Absolute Convergence**
https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(Apex)/08%3A_Sequences_and_Series/8.05%3A_Alternating_Series_and_Absolute_Convergence

Dec 28, 2020 · The underlying sequence is {an} = {1 / n}, which is positive, decreasing, and approaches 0 as n → ∞. Therefore we can apply the Alternating Series Test and conclude this series converges. While the test does not state what the series converges to, we will see later that ∞ ∑ n = 1( − 1)n + 11 n = ln2.

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