Review Question 4: Limit of the Series Terms vs. Partial Sums

In this video I go over a quick recap on how the sum of a series affects the limit of its terms and its partial sums. If an infinite series sums up to 3, then this must mean that the terms of the series all approach the limit of 0 while the limit of the partial sums approach 3. In other words, the limit of the sequence of partial sums is equal to the sum of the infinite series.

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

• Question 4: 0:00
• Solution: 0:47
• Limits of the sequence vs partial sums: 1:06

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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