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Convergence and divergence of normal infinite series
- Intro Lesson7:44
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- Lesson: 1b3:11
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Convergence and divergence of normal infinite series
In this section, we will take a look at normal infinite series that can be converted into partial sums. We will start by learning how to convert the series into a partial sum, and then take the limit. If we take the limit as n goes to infinity, then we can determine if the series is converging or diverging. Note that not all series can be turned into a partial sum. In that case, you would have to use other methods to see if the infinite series is convergent or divergent.
Basic Concepts: Introduction to infinite series
Lessons
- IntroductionOverview of Converging and Diverging Series
- 1.Converging and Diverging Series with the formula of partial sums
You are given the general formula of partial sums for the following series. Determine whether the series converges or diverges.a)∑n=1Nan=N+6N2+2N+3b)∑n=1Nan=N2+4N2+6N+2c)∑n=1Nan=N2+1N+5 - 2.Converging and Diverging Series without the formula of partial sums
Determine whether the following series converges or diverges.a)∑n=1∞nb)∑n=1∞n3c)2+4+6+8+ ...