Taylor expansion of function with two vector inputs

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How do I expand this function that takes in two vectors, r and x, using Taylor around =0 ? Is it (,)=(0,)+∇(0,)⋅(−0)+12(−0)⋅∇∇(0,)⋅(−0)+⋅⋅⋅ + The same thing for y ?

And how can I write it like this where C are the components of a tensor of rank l knowing r >> x?