Geometric Series -- 15 May 2008

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Achilles, Turtle and the Geometric Series


Harmonic Series

This video introduces the Harmonic Series 1 + 1/2 + 1/3 + 1/4 + ... and shows, without integration, that the Harmonic Series diverges. Intended for students to watch before the class discussing these matters.


Convergence of a Special Geometric Series

This video shows that the geometric series 1/2 + 1/4 + 1/8 + ... converges using very elementary methods.