Question 9
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Find the Taylor polynomial of order 3 at \( a=\frac{\pi}{8} \)
A. \( P_{3}, \frac{\pi}{8}(x)=1+4\left(x-\frac{\pi}{8}\right)+16\left(x-\frac{\pi}{8}\right. \).
B. None of the options
C. \( P_{3}, \frac{\pi}{8}(x)=1+4\left(x-\frac{\pi}{8}\right)-8\left(x-\frac{\pi}{8}\right)^{2} \)
D. \( P_{3}, \frac{\pi}{8}(x)=1+4\left(x-\frac{\pi}{8}\right)+8\left(x-\frac{\pi}{8}\right)^{2} \)
E. \( P_{3}, \frac{\pi}{8}(x)=1-2\left(x-\frac{\pi}{8}\right)+6\left(x-\frac{\pi}{8}\right)^{2} \)