Session 94: Infinite Series

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Overview

In this session we move from finding the area of an infinitely long region to finding the sum of infinitely many terms; Riemann sums form a bridge between these two topics. The most important infinite series is the geometric series, whose value is surprisingly easy to describe.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Introduction to Infinite Series (00:04:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Divergent Series (00:04:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Notation for Series (00:03:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 4: Examples of Series (00:05:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Limit of a Series

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Worked Example

 

Summing the Geometric Series

 

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