Arc Length Approximation

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This Demonstration is designed to introduce calculus students to the idea of a limit. Adding the lengths of a number of line segments with endpoints on a curve gives successively better approximations of the length of the curve as
increases toward infinity, as long as the length of the largest line segment tends to zero.
Contributed by: Chad Pierson, Josh Fritz, and Angela Sharp (September 2007)
Open content licensed under CC BY-NC-SA
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"Arc Length Approximation"
http://demonstrations.wolfram.com/ArcLengthApproximation/
Wolfram Demonstrations Project
Published: September 11 2007