
2.8.69 Power Series
Condition: to receive the few first members of the decomposition of the function \ (f (x) \) in a row on degrees \ (\ left (x-x_ {0} \ right) \), using the formula of Taylor to calculate the coefficients of the row. In each option, the number of derivatives \ ((m) \), which must be found, is indicated in the brackets. \ [2 \ sqrt {3}+\ frac {x^{6}} {30}+\ frac {x^{5}} {12} -x, \ quad X_ {0} =-1, \ quad m = 7 \]