Still Confused?

Try reviewing these fundamentals first.

Calculus

Introduction to infinite series- Home
- AU Essential Maths
- Series

Still Confused?

Try reviewing these fundamentals first.

Calculus

Introduction to infinite seriesStill Confused?

Try reviewing these fundamentals first.

Calculus

Introduction to infinite seriesNope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 17:44
- Lesson: 2a3:36
- Lesson: 2b3:11
- Lesson: 2c3:09
- Lesson: 3a2:44
- Lesson: 3b2:20
- Lesson: 3c8:25

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,

- 1.Overview of Converging and Diverging Series
- 2.
**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)$\sum_{n=1}^{N}a_n=\frac{N+5}{N^2+1}$ - 3.
**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+ ...

We have over 1420 practice questions in AU Essential Maths for you to master.

Get Started Now