Thread: find the limit

how do I find the limit of the following two?

1. limit of xyz/(x^3+yz^2) as (x,y,z) goes to (0,0,0)

2. limit of (x+y)/(sqrt.(x^2+y^2)) as (x,y,z) goes to (0,0,0)

Neither of these limits exist. For the first, try following the path and the second .

I made a simple mistake. The second one is as (x,y) goes to (0,0). Is the answer still the same?

Yes, just omit the .