- #1

apw235

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## Homework Statement

I am to find the limit if it exists as (x,y,z) -> (0,0,0) of

(x^2+2y^2+3z^2)/(x^2+y^2+z^2)

If it doesn't exist, show that it does not exist.

## The Attempt at a Solution

I know how to do with for functions of two variables, to approach on the x axis, and y axis, and maybe even occasionally on y=x or other lines to find out if the limit exists, but I haven't been able to find out how to apply this to 3 variables.

I'm not sure if i am to take f(0,0,z), f(0,y,0), and f(x,0,0) and see if i can draw conclusions from here, or alternatively, f(0,y,z), f(x,0,z), f(x,y,0).

Thank you. (this is for a calculus 3 course, undergraduate)