18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Taylor Series

Session 95: Series Comparison

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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

Clip 2: Comparison Tests

Clip 3: Examples of Comparison

Recitation Video

Comparison Tests

Ratio Test for Convergence

Worked Example

Using the Ratio Test

Recitation Video

Integral Test for Convergence

Using the Integral Test for Estimation

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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