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Find the Fourth Term of the Taylor Series for the Function

Question 13

Multiple Choice

Find the fourth term of the Taylor series for the function f(x) =cosxf(x) =\cos x about x=π/3x=\pi / 3 .


A) (xπ3) 312\frac{\left(x-\frac{\pi}{3}\right) ^{3}}{12}
B) (xπ3) 312-\frac{\left(x-\frac{\pi}{3}\right) ^{3}}{12}
C) 3(xπ3) 312\frac{\sqrt{3}\left(x-\frac{\pi}{3}\right) ^{3}}{12}
D) 3(xπ3) 312-\frac{\sqrt{3}\left(x-\frac{\pi}{3}\right) ^{3}}{12}

Correct Answer:

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