Radius

is an option to NSeries that specifies the radius of the circle around which the function is to be sampled.

Details and Options

To use Radius, you first need to load the Numerical Calculus Package using Needs["NumericalCalculus`"].
Valid settings are positive numbers. The default setting is 1.

Wolfram Language code: Needs["NumericalCalculus`"]

Use Radius to pick the annulus within which the Laurent series produced by NSeries will converge:

Wolfram Language code: NSeries[(1/(1 + x)(3 + x)), {x, 0, 10}, Radius -> 2]//Chop

Laurent series for :

Wolfram Language code: NSeries[(1/(1 + x)(3 + x)), {x, 0, 10}, Radius -> 5]//Chop

Wolfram Language code: Needs["NumericalCalculus`"]

Changing Radius can improve the accuracy in the result returned by NSeries:

Wolfram Language code: NSeries[(1/1 - x), {x, 0, 10}, Radius -> (7/8)]//Chop

Wolfram Language code: NSeries[(1/1 - x), {x, 0, 10}, Radius -> (1/5)]//Chop

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