Multivariate Taylor approximation in sympy

Question

I aim to write a multidimensional Taylor approximation using sympy, which

• uses as many builtin code as possible,
• computes the truncated T

Answer 1

You can use expr.removeO() to remove the big O from an expression.

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Oneliner: expr.series(x, 0, 3).removeO().series(y, 0, 3).removeO()