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Multivariable taylor series with relationship between variables

Let's consider a function f(x,y,z) and the following relationship between the variables:

f(x,y,z) = x+y+z
x << y << z     around 0

I would like the first order Taylor expansion of f around 0. And I would expect this result:

>> taylor(f, (x,0),(y,0),(z,0),1)

But I have :

>> taylor(f, (x,0),(y,0),(z,0),1)

How can I do it?