\lim _{\left(x,\:y\right)\to \left(0,\:0\right)}\left(\frac{x-y}{\sqrt{x^2+y^2}}\right)

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on Mar 17, 2025 at 6:03 am



You asked:

Evaluate the expression: lim⁡(x,y)→(0,0)x−yx2+y2\lim_{\left(x, y\right) \to \left(0, 0\right)}{\frac{x - y}{\sqrt{{x}^{2} + {y}^{2}}}}

MathBot Answer:

The limit lim⁡(x,y)→(0,0)x−yx2+y2\lim_{\left(x, y\right) \to \left(0, 0\right)}{\frac{x - y}{\sqrt{{x}^{2} + {y}^{2}}}} does not exist.

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