TaylorPolynomial Command

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TaylorPolynomial[Function, Number a, Number n]
Creates the power series expansion for the given function about the point x = a to order n.
Example:
TaylorPolynomial[x^2, 3, 1] gives 6 x - 9, the power series expansion of x2 at x = 3 to order 1.
Example:
TaylorPolynomial[x^2, a, 1] gives -a2 + 2 a x, the power series expansion of x2 at x = a to order 1.
TaylorPolynomial[Function, Variable, Number a, Number n]
Creates the power series expansion for the given function of the given variable about the point Variable = a to order n.
Example:
TaylorPolynomial[x^3 sin(y), x, 3, 2] gives sin(y) (9 x2 - 27 x + 27), the power series expansion of x of x3 sin(y) at x = 3 to order 2.
Example:
TaylorPolynomial[x^3 sin(y), y, 3, 2] gives (cos(3) x3 (2 y - 6) + sin(3) x3 (-y2 + 6 y - 7)) / 2, the power series expansion of y of x3 sin(y) at y = 3 to order 2.
Note: The order n has got to be an integer greater or equal to zero.
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