Geometric series | Divergent series

Divergent geometric series

In mathematics, an infinite geometric series of the form is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case This is true of any summation method that possesses the properties of regularity, linearity, and stability. (Wikipedia).

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MinutePhysics Maths Trolling (Adding Past Infinity)

A response to the video "Adding past infinity" by MinutePhysics http://www.youtube.com/watch?v=kIq5CZlg8Rg Unlike convergent series, divergent series do not have limits (the sum of the first n terms, are not getting closer to a particular value as n increases). However, if we assume a d

From playlist My Maths Videos

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Unusual Properties: Divergent Rearrangements/ Divergent Integral with Convergent Sum

This video is about series with divergent rearrangements, and a function with a divergent integral.

From playlist Basics: Unusual Properties in Math

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Series Convergent and Divergent Including Geometric & Telescopic Calculus 2 BC

I introduce determine the convergence and divergence of series in Calculus working with Geometric Series and Telescoping Series. Here are all my Series Lessons, https://www.profrobbob.com/calculus-2/sequences-and-series Find the Sequence of Partial Sums 7:02 Determine the Convergence or D

From playlist Calculus 2

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Infinite Series 1b - Geometric Series/ Limit Test for Divergence

Calculus: We continue the introduction to infinite series. A formula for the sum of a convergent geometric series is given, and the Limit Test for Divergence is presented. For more videos like this one, please visit the Calculus playlists at this channel.

From playlist Calculus Pt 6: Sequences and Series

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The Harmonic Series

This video introduces the harmonic series, explains why it is divergent and also examples infinite series that resemble the harmonic series. Site: http://mathispower4u.com

From playlist Infinite Series

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Infinite Geometric Series

This videos shows how to determine if an infinite geometric series converges or diverges. http://mathispower4u.yolasite.com/

From playlist Infinite Sequences and Series

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Divergence of series -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 | Six proofs | Divergent Series

This video presents six proofs of the famous sum of the monotonic divergent series of natural numbers 1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 00:00 Introduction 00:15 Proof 1 – Generating Function 03:49 Proof 2 – Direct Calculation 06:50 Proof 3 – Intercept Function 11:13 Proof 4 – Partia

From playlist Summer of Math Exposition 2 videos

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Worldwide Calculus: Theorems on Series I: Basic Properties

Lecture on 'Theorems on Series I: Basic Properties' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Worldwide Single-Variable Calculus for AP®

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What is a Series? Discusses Geometric Series and the Test for Divergence

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! What is a Series? Discusses Geometric Series and the Test for Divergence. Visit http://justmathtutoring.com for more free math videos. Click on the 'Free

From playlist All Videos - Part 4

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What is a Series

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! What is a Series - I try to give a basic idea of what a series is. I also briefly discuss geometric series and the test for divergence.

From playlist Sequence and Series Video Tutorial

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Calculus 2, The Comparison Test (April 7, 2021)

This is a recording of a live class for Math 1172, Calculus 2, an undergraduate course for math majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s1172/

From playlist Math 1172 (Calculus 2) Spring 2021

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Divergence Test For Series - Calculus 2

This calculus 2 video tutorial provides a basic introduction into the divergence test for series. To perform the divergence test, take the limit as n goes to infinity for the sequence An. If the limit doesn't equal, then the series diverges. If the limit equals 0, the series may converge

From playlist New Calculus Video Playlist

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Basic Series

Finding the limit of simple series, such as the harmonic series and geometric series

From playlist 242 spring 2012 exam 3

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Calculus II - 9.2.2 The Geometric Series

This is our first "special" series we will learn. Be sure to keep track of what makes a series Geometric, and the conclusion we can draw based on the value of r. Calculus I playlist corresponds to chapters 1-5 of Calculus 11e, Larson, Edwards: https://www.youtube.com/playlist?list=PLl-gb0

From playlist Calculus II (Entire Course)

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Calculus 11.2 Series

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Introduction to Infinite Series

This video introduces infinite series and the concept of a converging and diverging series. http://mathispower4u.yolasite.com/

From playlist Infinite Sequences and Series

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Mixed Convergence Tests

OpenStax Calculus Volume 2

From playlist Calculus 2

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1-1+1-1+... Grandi series from a complex analysis angle

In this video I talk about switching the limits of an expression that amounts to the Grandi series - a series which is divergent in real and comlex analysis. I'm also ranting a bit on the History of Science and math StackExchange page and other communities.

From playlist Programming

Related pages

Complex plane | Analytic continuation | Divergent series | Borel summation | Mathematics | Mittag-Leffler star | Cesàro summation | Euler summation