The nth Taylor polynomial for a function / at xo is sometimes referred to as the

Chapter 1, Problem 25

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The nth Taylor polynomial for a function / at xo is sometimes referred to as the polynomial ofdegree at most n that "best" approximates / near xo. a. Explain why this description is accurate.b. Find the quadratic polynomial that best approximates a function / near xq = I if the tangent line at xq = 1 has equation y 4x 1 and if /"(I) = 6.

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