Hi,

The question asks to check if this funcion: sin( x^2 + y^2 ) / x^2 + y^2 is continuous or not which I already found out since its domain is {(x,y): x!=0 and y!=0}

But now its asks to check whether it can be redefined to be continous or not about which I am very confused. So here's what I think:

The function will become one when z tends to zero whihc makes the function continuous at zero and I think everywhere. But I don't have the clear understanding of this thing.

Kindly clear my understanding about it up since I am having a limited knowldge in this area and let me know if what I think is correct or not.

Thank you so much!