Math Problem Statement
show that 2xy/ x^2+ y^2 is continuous
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Continuity of Functions
Limits in Polar Coordinates
Formulas
f(x, y) = 2xy / (x^2 + y^2)
Polar coordinates: x = r*cos(θ), y = r*sin(θ)
Theorems
Limit Theorem
Continuity in Two Variables
Suitable Grade Level
College Level (Multivariable Calculus)
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