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Power Seriesmedium
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If f(x)=sin⁡(x)f(x) = \sin(x)f(x)=sin(x) and we know its Maclaurin series, what is the coefficient of (x−1)1(x-1)^1(x−1)1 in the Taylor series for sin⁡(x)\sin(x)sin(x) centered at x=1x = 1x=1?