Question: (a) Use the Taylor polynomials P 1 (x), P 2 (x), and P 4 (x) for f(x) = e x , centered at c =

(a) Use the Taylor polynomials P₁(x), P₂(x), and P₄(x) for f(x) = e^x, centered at c = 1, to complete the table.

X et P(x) P(x) P(x) 1 e 1.25 1.50 3.4903 4.4817 1.75

(b) Use a graphing utility to graph f(x) = e^x and the Taylor polynomials in part (a).(c) Describe the change in accuracy of polynomial approximations as the degree increases.

X et P(x) P(x) P(x) 1 e 1.25 1.50 3.4903 4.4817 1.75 5.7546 2 7.3891

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