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Calculus

Introduction to infinite series- Home
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Still Confused?

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Calculus

Introduction to infinite seriesStill Confused?

Try reviewing these fundamentals first.

Calculus

Introduction to infinite seriesNope, I got it.

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Get Started Now- Intro Lesson7:44
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- Lesson: 2c8:25

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,

- 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)$\sum_{n=1}^{N}a_n=\frac{N^2+2N+3}{N+6}$b)$\sum_{n=1}^{N}a_n=\frac{N^2+6N+2}{N^2+4}$c)$\sum_{n=1}^{N}a_n=\frac{N+5}{N^2+1}$ - 2.
**Converging and Diverging Series without the formula of partial sums**

Determine whether the following series converges or diverges.a)$\sum_{n=1}^{\infty}n$b)$\sum_{n=1}^{\infty}n^3$c)2+4+6+8+ ...

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