課程名稱：微積分甲上
課程性質：數學系必修
課程教師：王金龍
開課學院：理學院
開課系所：數學系
考試日期：2010年10月08日
考試時限：30分鐘
是否需發放獎勵金：是
A. (10 points) Show that if every bounded sequence in R has at least one limit
point, then every Cauchy sequence in R converges.
B. (10 points) Use the method of Riemann sum to show that
b
∫ cos xdx = sin b - sin a.
a
C. (10 points) Suppose that f is a continuous function on a closed interval
[a,b]. Show that f is uniformly continuous on [a,b].
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 125.227.80.121