How to show that a given function is a polynomial? – math.stackexchange.com

How to show that a given function is a polynomial? – math.stackexchange.com

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I am looking at the following question: Is the set of all polynomials open in $C[-1,1]$? I am not sure what functions are considered as polynomial. For example, let $$f(x) = \frac{x}{1+|x|}.$$ ...

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