$\textbf{Absolute convergence of a series}$
A series $\sum_{k=1}^\infty a_k$ is said to converge absolutely if the series $\sum_{k=1}^\infty\lvert a_k\rvert$ converges.
Note: Every absolutely convergent series converges.
$\textbf{Absolute convergence of a series}$
A series $\sum_{k=1}^\infty a_k$ is said to converge absolutely if the series $\sum_{k=1}^\infty\lvert a_k\rvert$ converges.
Note: Every absolutely convergent series converges.
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𝐀𝐛𝐬𝐨𝐥𝐮𝐭𝐞 𝐜𝐨𝐧𝐯𝐞𝐫𝐠𝐞𝐧𝐜𝐞 𝐨𝐟 𝐚 𝐬𝐞𝐫𝐢𝐞𝐬
A series ∑ₖ₌₁ ᪲ 𝑎ₖ is said to converge absolutely if the series ∑ₖ₌₁ ᪲ ∣𝑎ₖ∣ converges.
Note: Every absolutely convergent series converges.