Show that if is absolutely convergent, then n1 an n1 an

Chapter 9, Problem 108

(choose chapter or problem)

Show that if \(\sum_{n=1}^{\infty} a_{n}\) is absolutely convergent, then

\(\left|\sum_{n=1}^{\infty}a_n\right|\ \le\ \sum_{n=1}^{\infty}\left|a_n\right|\).

Text Transcription:

sum_n=1 ^infty a_n

|sum_n=1 ^infty a_n| leq sum_n=1 ^infty |a_n|

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