Problems Plus 10: Solving Infinite Limits Using the Method of Analogy

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In this video I go over a seemingly complicated infinite limit and solve it by first considering a special simpler case. I show the simpler case is true and then follow the same steps to show the general case is also true. This type of problem solving technique is called "Using Analogy" and is very useful at getting a starting point when looking at problems that appear complicated. For example, if a question involves large numbers, we can start off by solving it for smaller numbers and hopefully it will give clues as to how to solve it for bigger numbers.

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

• Problem 10: 0:00
• Solution: Using an analogy: 0:56
• Special cases, k = 1 and k = 2: 2:15
• General case: 8:10
• Limit is equal to 0: 14:26

This video was taken from my earlier video listed below:

• Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
• HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
• Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P

Related Videos:

Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .

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