阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
103年 - 103 國立中正大學轉學生招生考試試題_部分系所：微積分#122825
> 試題詳解
1. Which of the following must be true?
(A)
(B)
(C)
(D)
[ln(2n² + 1) - ln(n² + 1)] = 2
答案：
登入後查看
統計：
尚無統計資料
詳解 (共 1 筆)
MoAI - 您的AI助手
B1 · 2025/10/12
#6880688
題目解析 題目要求我們判斷四個選項中哪...
(共 1190 字，隱藏中）
前往觀看
0
0
其他試題
1. A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 6 - x². What is the largest area the rectangle can have? (A) (B) (C) 10 (D) 12 (E) None of the above
#3316722
2. Find the area of the region enclosed by the curve y = 2sinx and the x-axis on the interval 4π ≤ x ≤ 5π. (A) 8π (B) 9π (C) 4π (D) 5π (E) None of the above
#3316723
3. Find the limit: (A) 1 (B) e (C) e² (D) e⁴ (E) None of the above
#3316724
4. If f(5) = 4 and f'(5) = 2/3, find (f-1)'(4) (A) 3/2 (B) 2/3 (C) 1/4 (D) 4/5 (E) None of the above
#3316725
複選題2. Suppose that f'(x) ＞ 0 for all x ∈ R and that f(2) = 0. Let g(x) = f(t) dt. Which of the following must be true? (A) The graph of g is increasing on (0,2). (B) g is a nonnegative continuous function. (C) The graph of g has a horizontal tangent at x = 2. (D) The graph of g does not have any inflection point.
#3316727
3. Suppose that series anxn converges when x = -3 and diverges when x = 5. Which of the following must be true? (A) an converges. (B) an(-2)nconverges. (C) an(-5)ndiverges. (D) an6ndiverges.
#3316728
複選題4. Let f(x, y) = 4 + x³ + y³ - 3xy. Which of the following must be true? (A) f has a local maximum at (0,0). (B) f has a local minimum at (1,1). (C) At the point P(1,0), f have the maximum rate of change in the direction (1,-1). (D) The maximum rate of change at the point P(1,0) is.
#3316729
1. Which of the following must be true? (A) (B) (C) (D)
#3316730
2. Which of the following must be true? (A) (B) (C) (D)
#3316731
3. Which of the following must be true? (A) The series converges for all p≠0$ (B) The series converges absolutely (C) The series converges (D) The series diverges
#3316732
阿摩線上測驗
登入
阿摩線上測驗
登入
[ln(2n² + 1) - ln(n² + 1)] = 2