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研究所、轉學考(插大)-高等微積分
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97年 - 97 淡江大學 轉學考 高等微積分#55794
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9. Let {f
n
} be a sequence of real-vaiued functions on [0，l] and f
n
converges uniformly to a function f. Prove that if each f
n
is continuous on [0,1], then f is continuous on [0,1]. (10 points)
其他申論題
(2). Find Dg(2，5)(the total derivative ofg at(2,5)). (10 points)
#210898
【已刪除】6. Let f be continuous on [a, b]. Show that A in [a, b] if and only iff(x) = 0 for all x in[a，b]. (15 points)
#210899
【已刪除】7. Let t : [0, l]→[0，1] be continuous. Prove that there is c [0，11 sucli that f(c)=c. (10 points)
#210900
【已刪除】8. (5 points)
#210901
I - Given Ihe following information about llie markeis of an economy: (25 分）
#210903
(2) Suppose P 二 200. Add the new LM curve lo the graph. Whal are the new equilibrium outpul and interest rate?
#210904
(3) Draw the AD curve according to (1) and (2).
#210905
(4) Analyze the effecls of tax cut on output and interest rate. Show ihe change on 1S-LM and AD curve.
#210906
(5) Analyze Ihe effects of open- markel -sale on output and interesl rale. Show ihe change on IS-LM and AD curve.
#210907
3.凱因斯學派認爲失業在短期是可能存在的，請輔以勞勤市場圖形說明爲什 麼。？新凱因斯學者又提出哪些可以解釋失業的理由？ （15分）
#210908
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