本题目来源于试卷: Maclaurin Series，类别为 IB数学
[问答题]
1. By successive differentiation find the fireu*7i b1 0fgcby4 / 3fo,ohgcmst five non-zero terms in the Mzz)s, -ir q- rlgb8y akq 1l*gub;d9i( lg2ww2aclaurin se2*q1 liagz,28-uzw;qr )byrgb-s gl( i wk9dl ries 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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