08
3. (一致收敛?) I guess the question is wrong, should be f_n'' is uniformly convergent. In this case, all three options are correct.
4. int_0^2 (1 + (1-x)^2 + 1)dx
12. I, III correct
13. I, II
21 numbers not of the form (4k+1)/2n, k,n are integers.
25 大:小 = 2:1
26 3+3+0-5 = 1
27 z* = conjugate? then infinity
33 suppose limit exists, then 1+sqrt 5/2
34 If those v can be chosen to be 0, then 1. Otherwise 2 (take v_1= .. = v_4)
37 I, III correct
41 5
43 1/(4pi)
46 100
48 1^5+1^5+1^5+2^5+2^5+2^5 = 99
50 (f^(-1)(B的闭包))含于(f^(-1)(B))的闭包.(if this means contains, then II)
51 infinity
53 not I and III.
57 I