回覆 10# LingZ 的帖子
第 4 題
另解
(1) x = 0,1,-1,(x - x^3)/(1 + 2x^2 + x^4) = 0
(2) x ≠ 0,1,-1
(x - x^3)/(1 + 2x^2 + x^4)
= (1/x - x)/(1/x^2 + 2 + x^2)
= (1/x - x)/[(1/x - x)^2 + 4)]
= 1/[(1/x - x) + 4/(1/x - x)]
1/x - x < 0,1/[(1/x - x) + 4/(1/x - x)] < 0
1/x - x > 0,1/[(1/x - x) + 4/(1/x - x)] ≦ 1/(2√4) = 1/4