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Suppose t4(x) = 2 − 7(x − 3) + 3(x − 3)2 − 8(x − 3)3 + 3(x − 3)4 is the degree 4 taylor polynomial centered at x = 3 for some function f. what is the value of f (3)(3)
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3 votes
Suppose

t4(x) = 2 − 7(x − 3) + 3(x − 3)2


− 8(x − 3)3 + 3(x − 3)4


is the degree 4 taylor polynomial centered at


x = 3 for some function f.


what is the value of f


(3)(3)

User JohnHC
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1 Answer

6 votes
f(3) = t4(3) = 2

The value of the function at the point of expansion is the first (constant) term of the Taylor series.
User Scagood
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6.7k points
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