Limits That Do Not Exist at Origin
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This example demonstrates limits that do not exist at the origin. It involves the concept of limits, using the graphs of functions f_5 and f_6 to visually understand the situation where a limit does not exist. By constructing these functions, one can observe the changes in function values near the origin, thereby understanding the reasons for the non-existence of the limit. Suitable for high school mathematics education and learning about the concept of limits.
GeoGebra Commands & Parameters
f_5(x, y) = (((2 * x) * y)) / (x^(2) + y^(2))f_6(x, y) = ((2 * (x * y))) / (x^(4) + y^(2))