Expand 1−3x3\sqrt[3]{1-3x}31−3x in ascending powers of x x\,x up to and including x3 x^3\,x3 and state the set of values of x x\,x for which the expansion is valid.
Use your expansion to find an approximation for 0.943\sqrt[3]{0.94}30.94 to 5 decimal places.
