Given f(x) = - 3x + 1 , solve for a when f(x) = - 5 .
2 answers:
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Compute the necessary values/derivatives of at
:
Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) at
by
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Another way of doing this would be to solve for the coefficients in
by expanding the right hand side and matching up terms with the same power of .