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In this video I go over a pretty amazing math problem on finding the sum of a series that is defined by a simple recursive formula, and it somehow turns out to be the number e! A recursive function is such that it depends on a previous version of itself, hence each new iteration modifies the previous value before it. In this problem, a sequence is defined recursively and by using the principle of mathematical induction, I show that as the series approaches an infinite number of terms the sum of the series approaches the number e. Truly amazing stuff!
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This video was taken from my earlier video listed below:
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