題目 Problem Let f(x)f(x)f(x), F(x)F(x)F(x) and h(x)h(x)h(x) be defined as the following: f(x)=2πλe−(x/λ)2,F(x)=∫0xf(t) dt,h(x)=f(x)1−F(x).f(x)=\frac{2}{\sqrt{\pi}\lambda}e^{-(x/\lambda)^2},\qquad F(x)=\int_0^x f(t)\,dt,\qquad h(x)=\frac{f(x)}{1-F(x)}.f(x)=πλ2e−(x/λ)2,F(x)=∫0xf(t)dt,h(x)=1−F(x)f(x). (a) (15 points) Find limx→0+h(x)\lim_{x\to0^+}h(x)limx→0+h(x). (b) (15 points) Find limx→∞h(x)\lim_{x\to\infty}h(x)limx→∞h(x). 解答 待補。
