- #1

mirajshah

- 6

- 0

## Homework Statement

Hi everyone! I'm pretty good with multivariable limits, but this one has me stumped:

Find the limit or show that it does not exist:

[tex]

\underset{\left(x,y,z\right)\rightarrow\left(1,-1,1\right)}{\lim}\frac{yz+xz+xy}{1+xyz}

[/tex]

## Homework Equations

## The Attempt at a Solution

I could not work with polar coordinates here because there is no easy way to find a value that ρ approaches (the point is (1, -1, 1).

I found it difficult to prove that the limit didn't exist, as in this case the point is in 4-d space and one can only approach it from various 3-D spaces, which I simply could not visualize how to do.

Help please!

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