Find n {\displaystyle n} such that the Maclaurin polynomial of degree n {\displaystyle n} of f ( x ) = cos ( x ) {\displaystyle f(x)=\cos(x)} approximates cos ( π 3 ) {\displaystyle \cos {\bigg (}{\frac {\pi }{3}}{\bigg )}} within 0.0001 of the actual value.
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