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Question: how I can write taylor function for following example

Question:how I can write taylor function for following example

torabi 85 Maple 2018
taylor
December 03 2018
0

how I can write taylor function for following example.

I want to gain an answer similar to the image result by using taylor function.

tylor.mw
 

> 

P27 := f(x+fNx/`Δx`, y+(`Δy`-fNy)/`Δy`, z+fNz/`Δz`)

f(x+fNy/`Δx`, y+(`Δy`-fNy)/`Δy`, z+fNz/`Δz`)

 (1)
> 

with(MultiSeries)
> 

taylor(P27, x = 0)

series(f(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`)+(D[1](f))(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`)*x+((1/2)*(D[1, 1](f))(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`))*x^2+((1/6)*(D[1, 1, 1](f))(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`))*x^3+((1/24)*(D[1, 1, 1, 1](f))(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`))*x^4+((1/120)*(D[1, 1, 1, 1, 1](f))(fNy/`Δx`, -(-y*`Δy`+fNy-`Δy`)/`Δy`, (z*`Δz`+fNz)/`Δz`))*x^5+O(x^6),x,6)

 (2)
> 

``


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