Hello everyone
Show that f is not continuous in (0, 0)
I really do not know how to solve that.
Thanks for your time.
Rapha
Hello,
In order to show it is continuous, you must show that , for any direction.
Since you want to show it is not continuous, it is sufficient to find a direction for which the limit is not 0.
Switch to polar coordinates. The limit will become :
which is not always equal to 0.
Hence it is not continuous at (0,0)