Definition and Notation of Infinite Series



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In this video, I go over infinite series (or just series), which is defined as the summation of the terms of an infinite sequence of numbers. If we add an infinite sequence of numbers whose terms are each greater than 1, then the sum goes to infinity. But if the terms are fractions, then in some cases the sum tends towards a finite limit. In this case, we obtain a convergent series — otherwise, if there is no finite sum, then the series is called divergent.

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#math #calculus #series #sequences #education


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Clear explanation of how a series is the sum of an infinite sequence. The notation part is especially useful for calculus learners.

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