Limits and Continuity by Nathan Warnberg
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This example demonstrates the concepts of limits and continuity of functions in a coordinate system. Core mathematical concepts involved include limits, continuity, upper and lower sums or Riemann sums, sequences and series, coordinates, equations, and ratios. Construction highlights the use of GeoGebra commands and objects f, g, h to build function graphs and illustrate related concepts. Suitable for high school students and teachers for understanding and teaching calculus basics.
GeoGebra Commands & Parameters
f(x, y) = sin(x^(2) + y^(2)) / (x^(2) + y^(2))g(x, y) = (x^(2) - y^(2)) / (x^(2) + y^(2))h(x, y) = ((x * y)) / (x^(2) + y^(2))