Review Question 2: Monotonic Sequence Theorem

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In this video I review bounded and monotonic sequences as well as the monotonic sequence theorem. A bounded sequence is one in that is bounded above and bounded below. A sequence is bounded above if there is a number that is less than every term in the sequence. Likewise, a sequence bounded below is if there is a number that is larger than every term in the sequence. A monotonic sequence is either always increasing or always decreasing. The monotonic sequence theorem, which I covered in my earlier video, states that a bounded, monotonic sequence is always convergent.

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

• Question 2: 0:00
• Solution to (a): Bounded sequence: 0:22
• Solution to (b): Monotonic sequence: 1:33
• Solution to (c): Monotonic sequence theorem: 2:51

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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