Overview
In this session we use Riemann sums to compare series to indefinite integrals. This allows us to determine whether the series converge and may help determine the value of a convergent series.
Lecture Video and Notes
Video Excerpts
» Clip 1: Comparison of the Harmonic Series (00:08:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Comparison of the Harmonic Series
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» Clip 3: Examples of Comparison (00:03:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Comparison Tests
Ratio Test for Convergence
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Worked Example
Using the Ratio Test
Recitation Video
Integral Test for Convergence
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Using the Integral Test for Estimation
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