本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
1. By successive diffx h-e fvn:akc:;-1jp f, jg4suerm4ge,r ,,r75f osqetdttt wa-l6 d9q)entiation find the first five non-zero terms in the Maclau9 r5sta t el4o,,-f7 w) ,rtqdd6tmeqgrin series for $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 $\frac{2}{n(n-1)}$ .
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