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Alle videoerlimits in higher dimensions

Multivariable Limits Fail Along Different Paths

0:57Fortellerstemme
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A two-variable limit must agree along every path. For f(x, y) = (xy + y³)/(x² + y²), approaching the origin along the x-axis gives 0, while approaching along y = x gives 1/2. Two different values — so the limit does not exist.

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