Turn a Series Expansion into Function in Mathematica

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#Mathematica

Turn a series expansion in Mathematica into a function

Series in Mathematica returns a series with higher orders denoted as $\mathscr O[x^3]$. To define a function out of this returned expression, we have to truncate this tail using Normal.

What Normal does here is to truncate the higher orders.

Reference: Converting Power Series to Normal Expressions

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References:
  1. Converting Power Series to Normal Expressions
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L Ma (2017). 'Turn a Series Expansion into Function in Mathematica', Datumorphism, 05 April. Available at: https://datumorphism.leima.is/til/programming/mathematica/mathematica-turn-series-into-function/.