2.8.69 Power series

condition: Obtain the first few terms of the expansion of the function \( f(x) \) into a power series \( \left(x-x_{0}\right) \), using the Taylor formula to calculate the coefficients of the series. In each option, the number of derivatives \( (m) \) that must be found is indicated in parentheses. \[ 2 \sqrt{3}+\frac{x^{6}}{30}+\frac{x^{5}}{12}-x, \quad x_{0}=-1, \quad m=7 \]