Question:
Let the function \(f: R^2⇢R\) be \(f(x, y) = \frac{xy^2}{ x^3+ 2xy + y^3}\,\, f(0, 0) = 0.\) Then
Let the function \(f: R^2⇢R\) be \(f(x, y) = \frac{xy^2}{ x^3+ 2xy + y^3}\,\, f(0, 0) = 0.\) Then
Updated On: Oct 1, 2024
- f is differentiable at (0, 0).
- f, does not exist at (0, 0).
- does not exist at (0, 0).
- f is not continuous at (0, 0).
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The Correct Option is D
Solution and Explanation
The correct option is (D): f is not continuous at (0, 0).
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