The coefficient of $$\(\left(x-\frac{\pi}{4}\right)^{3}\)$$ in the Taylor series about $$\(\frac{\pi}{4}\)$$ of $$\(f(x)=\)$$ $$\(\cos x\)$$ is

A.
\(-\frac{1}{12}\)
B.
\(\frac{1}{12}\)
C.
\(\frac{1}{6 \sqrt{2}}\)
D.
\(-\frac{1}{3 \sqrt{2}}\)
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set Year:2024 Question No:30

Answer:

C

Knowledge points:

10.11 Finding Taylor Polynomial Approximations of Functions
10.14 Finding Taylor or Maclaurin Series for a Function

Solution:

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