The quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line
What is Taylor polynomial ?
Taylor polynomial function simply refers to an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.
So therefore, the quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line
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