Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Functions of Several Variables
Let if possible, \( α=\lim _{(x, y) →(0,0)} \frac{\sin \left(x^2+y^2\right)}{x^2+y^2} \), \( β=\lim _{(x, y) \rightarrow(0,0)} \frac{x^2-y^2}{x^2+y^2} \). Then.
1
α exists but β does not exists
2
α does not exists but β exists
3
α, β do not exists
4
Both α, β exists