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 (4 min)
» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Divergent Series (4 min)
» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Notation for Series (3 min)
» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

» Clip 4: Examples of Series (5 min)
» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

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Recitation Video

Limit of a Series

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» iTunes U (MP4 - 11MB)
» Internet Archive (MP4 - 11MB)

Worked Example

Summing the Geometric Series

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