利用 1/(1-x) = ∑(n≥0)(x^n),|x|<1,可得 f(x) = -x/[3-2(x+1)] = (-x/3)/[1-2(x+1)/3] = (-x/3)*∑(n≥0)[2(x+1)/3]^n = ……,|2(x+1)/3|<1,……,即得。