The first one, exists.
The second one, Does Not Exist.
It's helpful to express them in polar coordinates to see this.
Sorry, I haven't done this in a while and I just would like to double check if the following 2 limits exist or do not exist. A short explanation would be very helpful.
#1 lim(x,y)-->(0,0) of (x^3*y^2)/(x^2 + y^4)
#2 lim(x,y)-->(0,0) of (x^3*y^2)/(x^6 + y^4)
Thanks a lot. Much appreciated.