Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2 + x + 1, a = 3

A. P3(x) = 13 + 7(x - 3) + (x - 3)2
B. P3(x) = 1 + 3(x - 3) + 3(x - 3)2 + (x - 3)3
C. P3(x) = 4 + 7(x - 3) + 10(x - 3)2
D. P3(x) = 13 + 7(x - 3) + 7(x - 3)2 + 13(x - 3)3


Answer: A

Mathematics

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