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find the largest interval containing x=0 over which f(x)=sin(3x) can be approximated by p(x)=3x-((3x)^3/6 )to three decimal-place accuracy throughout the interval

find the largest interval containing x=0 over which f(x)=sin(3x) can be approximated by p(x)=3x-((3x)^3/6 )to three decimal-place accuracy throughout the interval

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