106年 - 106 年 - 106 國立臺灣大學_碩士班招生考試_國際企業研究所乙組:微積分(C)#114292

1. (10%) Evaluate the limit

3. (10%) Evaluate dx.

4. (10%) Find the values of x for which the power series is convergent:

5. (10%) Find if y = tanh^-1(cos2x).

6.1 (5%) Find such that

6.2 (10%) Suppose that σ_F ＞ σ_G. Prove

6.3.1 (5%) Prove that0 <I < MΦ

6.3.2 (10%) If II can be expressed as M[aΦ(β) + γe^-δ2/2], what are a, β,γ, and δ?

6.3.3 (5%) What is？

7.1 (5%) What is if a ＞ b²/2?

7.2 (5%) What is if a ≤ b²/2?

7.3 (5%) What is