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研究所、轉學考(插大)-微積分
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94年 - 94 國立中興大學_理學院科系(聯招)轉學考：微積分#112194
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題組內容
第二部分:非題(不需計算過程·答以“F”表示“错”,“T”表示“對”)
(h) If
converges, then
converges.
其他申論題
(d) If f : (0,∞)→ (0,∞) is continuous and increasing on (0,∞)； then f(x)=∞.
#480540
(e) If f : (0,∞) → is differentiable,i.e., f'(x) exists, , then f'(x) is continuous on .
#480541
(f) does not exist.
#480542
(g) The series converges.
#480543
(i) If converges, then converges.
#480545
(j) If f : [a,b] → is not continuous, then f(x)dx does not exist.
#480546
(1) Evaluate .
#480547
(2) Find at the point (-1,0) if 6x4+ 3x2y - 20xy2 - 3y3 = 6.
#480548
(3) Find the gradient vector of the function f(x,y) := . Then find the equation of the tangent plane at (2,0).
#480549
1. Find the average value of g(x) = |x| - 1 on [-1,3]. Answer:__________
#480550
converges, then 
converges. 
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converges, then converges.