briefly explain why a maclaurin polynomial cannot be created for the function . your answer should only be one or two sentences.

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09-12-2022
Mathematics

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briefly explain why a maclaurin polynomial cannot be created for the function . your answer should only be one or two sentences.

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AyushiJain10 AyushiJain10 · Answer 1 · 2022-12-20T07:53:17+01:00

A Maclaurin polynomial cannot be created for the function f(x) = ln(x) because this function has an essential singularity at x = 0. An essential singularity is a type of singularity in a complex function that cannot be removed by a change of variables. A Maclaurin polynomial is a Taylor series expansion of a function around the point x = 0, so it cannot be used to represent a function with an essential singularity at x = 0.

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