分子减个分母,得到:f(x) = lim(n→∞) {x * [1 - 2 * x^2n / (1 + x^2n)]}令g(x) = lim(n→∞) [2 * x^2n / (1 + x^2n)]这个极限很好求x = 1时,g(x) = 0|x|>1时,g(x) = 2|x|<1时,g(x) = 0代入f(x)即可