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95年 - 95 國立暨南國際大學_轉學生入學考試試題_電機系二：微積分#124710
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題組內容
2.
(c) Find
，hint: sec²x - tan²x = 1. (10 points)
其他申論題
5. (20%) Verify that the serieshas interval of convergence [-1, 1].
#530539
1. Prove: If f is the function defined by thendoes not exist. (10 points)
#530540
(a) Findfor y = (x3+ 1)(3x² + 2x - 1). (10 points)
#530541
(b) Find (). (10 points)
#530542
3. The number is a root of the equation x² - 3 = 0. Please estimateby applying the Newton-Raphson method to the functionf(x) = x² - 3 starting at x₁ = 2. Hint: the Newton-Raphson formula is. (10 points)
#530544
4. Find f to satisfy that f '(x) = 6x - 2, f'(1) = -5, and f '(1) = 3. (10 points)
#530545
(a) Find . (10 points)
#530546
(b) Compute dx. (10 points)
#530547
(a) Calculate the angle between a and b. (5 points)
#530548
(b) Find proj，a . (5 points)
#530549
，hint: sec²x - tan²x = 1. (10 points)
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，hint: sec²x - tan²x = 1. (10 points)