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
» Clip 1: Introduction to Infinite Series (00:04:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Introduction to Infinite Series
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» Clip 3: Notation for Series (00:03:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
» Clip 4: Examples of Series (00:05:00)
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