本题目来源于试卷: Maclaurin Series,类别为 IB数学
[问答题]
1. By successive differentiation findbmb:p7euxrne nc 5l8h 5c r5b/r3k ;q. the first five non-zero terms in the Macla b:nb5p;m/x c ncu5k qr7h e5e.l8b3rr)vonwnpc7 y- m-0ae(tk f2352fpkhco urin cy (5 2f) woa- t7kf0mn-c32voph enpkseries 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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