Review Question 6: Absolutely Convergent and Conditionally Convergent Series

In this video I quickly recap on absolutely and conditionally convergent series. An absolutely convergent series is such that the absolute value of all the terms of a series is convergent. Since the absolute value of all the terms means that the series sums up to its maximum size, if it is absolutely convergent then it means it is also convergent. On the other hand, if a series is convergent but NOT absolutely convergent, then it is said to be conditionally convergent. This arises from positive and negative terms canceling out.

The timestamps of key parts of the video are listed below:

• Question 6: 0:00
• (a) Absolutely convergent series: 0:14
• (b) Absolutely convergent series are convergent: 0:56
• (c) Conditionally convergent series: 1:12

This video was taken from my earlier video listed below:

• Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
• HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
• Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L

Related Videos:

Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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