[问答题]
1. By successive differez :1yz othx-g5ntiation find tgdh 6(hw(:mr5tnaky +he first five non-zero terms in the Maclaurin series for h(ym :nhrt 6kd +5wga( $f(x)=(2-2 x) \ln (1-x)+2 x $.
2. Deduce that, for $n \geq 2$ , the coefficient of $x^{n}$ in this series is $\frac{2}{n(n-1)}$ .