111年 - 111 國立臺北大學_轉學生招生考試試題_經濟學系二年級：微積分#117728

7. Which of the following 3 series is/are bounded?__(7)__ (A)(B)(C)

8.Which of the following 3 series is/are convergent?__(8)__(A)(B)(C)

2. lf g(x)=,then g'(x)=__(2)__.

3. The valuc of is__(3)__.

4. lf =__(4)__.

5.Write down the range of a, which makes the series converge.__(5)__.

6. lf is the Taylor polynomial of order 4 generated byat 0, then the constant in front of x⁴, c₄=__(6)__.

9. The domain of is__(9)__.

10.lf f(x)=x+cosx,then (f^-1)'(1)=__(10)__.

3. The slope of the tangent line at the point (1, 1) on the graph ofequals__(3)__.

4. The value ofequals__(4)__.