Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Differentiability
Let
\(\rm f(x,y)=\left\{\begin{matrix}\frac{xy}{{x^2+y^2}},&x^2+y^2\ne0\\\ 0,&x=y=0\end{matrix}\right.\) Then,
1
f(x, y) is continuous at origin
2
f(x, y) is discontinuous at 1
3
f(x, y) has removable discontinuity at 1
4
f(x, y) is not differentiable at origin