Math Problem Statement
Show that lim (x,y)➡️(0,0) 2xy²/x²+y⁴ don't exist
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Limits
Path-Dependence in Limits
Limit in Higher Dimensions
Formulas
lim_{(x,y) \to (0,0)} \frac{2xy^2}{x^2 + y^4}
Path 1: y = 0, Path 2: x = 0, Path 3: y = mx, Path 4: y = x^{1/2}
Theorems
Path Dependence Theorem for Multivariable Limits
Suitable Grade Level
College Level Calculus or Advanced High School
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