本题目来源于试卷: Maclaurin Series，类别为 IB数学
[问答题]
1. By successive differ/4 ,y+fknq,ph etov pr74nia;eu 2 7mk,g v(k,w4-sx- oe/wllougo xv8ntiation find the first five non-zero terms in the Maclaurin usox ek8 -x7 v,4ol2lg/ogmvw ,k (u-wseries 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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