(https://youtu.be/xjmy5hkZccY)
(https://youtu.be/-K9Qt6YUIrI)
(https://youtu.be/MDYb5DnRH2c)
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In this video, we’ll explore how to evaluate a telescoping series. We’ll go through the step-by-step process to simplify and find the sum of a given infinite series. The problem we’ll solve involves:
Evaluating ∑ 5 / [ n(n+2) ] from ‘ n=1 ‘ to ‘ ∞ ‘
Showing how terms cancel in a telescoping fashion
Summing the remaining terms to find the final result
We’ll also discuss how telescoping series work in general, where the technique of term cancellation is particularly useful in simplifying complex series. By the end of this video, you will have a solid understanding of how to approach similar problems and use telescoping series techniques effectively.
What You Will Learn:
How to recognize a telescoping series
Techniques for simplifying the series
How to find the sum of an infinite series using term cancellation
If you find this video helpful, please leave a comment, like, share, and subscribe! Also, share with friends, teachers, or anyone who might benefit from these lessons.
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