18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Taylor Series

Session 94: Infinite Series

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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

Clip 2: Divergent Series

Clip 3: Notation for Series

Clip 4: Examples of Series

Recitation Video

Limit of a Series

Worked Example

Summing the Geometric Series

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos