Limits of Multivariable Functions
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This example demonstrates the concept and calculation methods of limits for multivariable functions. Key math concepts include multivariable functions, limit definition, and vector operations. It uses GeoGebra objects like f_2, f_3, f_4, f_{1a}, f_{1b}. Suitable for university-level beginners or students needing a visual understanding of multivariable function limits.
GeoGebra Commands & Parameters
f_2(x, y) = (x^(2) - (x * y)) / (sqrt(x) - sqrt(y))f_3(x, y) = (((4 * x) * y^(2))) / (x^(2) + y^(2))f_4(x, y) = y / xf_{1a}(x, y) = (x - (x * y) + 3) / ((x^(2) * y) + (5 * (x * y)) - y^(3))f_{1b}(x, y) = sqrt(x^(2) + y^(2))