1.已知1×4+2×7+3×10+...n(3n+1)=n(n+1)^2,不用数学归纳法,证明对於所有正整数n,1^2+2^2+3^2+...n^2=n(n+1)(2n+1)/62.设y = xln(2-x).(a)从基本原理求dy/dx.(b)若y = xln(2-x)在x=1的切线垂直於直线x+ky+3=0,求k的值.
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