Calculu III, help please!

[sarah202040]

what paths should i use to find the limit of the following question:

F(x,y,z)=(xyz)/(x^2 +y^2+z^4).
Lim F(x,y,z) = ?
x->0
y->0
z->0

P.S I've tried many paths and I keep getting the limit zero, i need a path where i can find a value for the limit...

thanks in advance!

 

[Deleted member 4993]

what paths should i use to find the limit of the following question:

F(x,y,z)=(xyz)/(x^2 +y^2+z^4).
Lim F(x,y,z) = ?
x->0
y->0
z->0

P.S I've tried many paths and I keep getting the limit zero, i need a path where i can find a value for the limit...

thanks in advance!

First you need to prove that the limit does exist (or does not exist - dne).

Please show us your work, even if you think that it is wrong - so that we know where to begin to help you