所屬科目：台大◆企管◆微積分(C)
1. Solve the function A(t) if A1(t)=αA2(t)+BA(t)-1,and A(0)=0, where α and β are real numbers.
2.Givenexpress as , where A and B are functions of x and m.
3.Find the Taylor series about x = 0 for the following integral；
(a)Derive and express as the form of . What are A and B?
(b)Derive and express as the form of.What are C, D, and E?
(c)Derive and express as the form of . What are F, G, and H?
(d)Derive and express as the form of . What are I, J, and K?
5. Represent in a Maclaurin series for -1 ＜ x ＜l.
8. Evaluate .
9.Determine the interval of convergence of .
阿摩線上測驗
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阿摩線上測驗
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as 
, where A and B are functions of x and m.
as the form of 
. What are A and B?
as the form of
.What are C, D, and E?
as the form of 
. What are F, G, and H?
as the form of 
. What are I, J, and K?
in a Maclaurin series for -1 ＜ x ＜l.
.
.