Let \( f(x, y) = \begin{cases} (x^2 + y^2)[ln(x^2 + y^2) + 1], & \text {for }(x, y) \neq (0,0) \\ α, & \text {for }(x,y) = (0,0) \end{cases} \)
then f is continuous for which value of α ?
1
0
2
1
3
-1
4
∞
Let \( f(x, y) = \begin{cases} (x^2 + y^2)[ln(x^2 + y^2) + 1], & \text {for }(x, y) \neq (0,0) \\ α, & \text {for }(x,y) = (0,0) \end{cases} \)
then f is continuous for which value of α ?