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Tangent Line Using Many Different Limit Configurations

The tangent line to the graph of at is the limiting position of the secant lines through the two points and as , for any constants .

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Reference: W. A. Simpson, "An Illuminating Generalization of the Definition of the Derivative," International Journal of Mathematical Education in Science and Technology, 24(1), 1993 pp. 152–156.

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"Tangent Line Using Many Different Limit Configurations" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TangentLineUsingManyDifferentLimitConfigurations/
Contributed by: Soledad María Sáez Martínez and Félix Martínez de la Rosa
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