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Continuity of Multivariable functions – A quotient of functions – Exercise 4191

Exercise

Is the function

f(x,y) = \begin{cases} \frac{x^2y}{x^3+y}, &\quad (x,y)\neq (0,0)\\ 0, &\quad (x,y)= (0,0)\\ \end{cases}

Continuous at point (0,0)?

Final Answer


No

Solution

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