Prove the statement is true.
(b) Qn(0, 0) <RR
Let A, B, C be subsets of U. Prove that If C – B=0 then AN (BUC) < ((A-C)) UB
Prove
X, Y, Z, JER. XKY Prove Z <# X AND Y<j, if and only if (x,y) [z,j]
Prove
AB _ BC__ AC aven. DEEF DE Prove: <A><D
1. Let x, a € R. Prove that if a <a, then -a < x <a.
Exercise 3. Suppose that |2 < 2. Prove that the series converges absolutely.
(3) 5. Suppose that f : D[0, 1] → D[0, 1] is holomorphic, prove that f'(2) < 1/(1 - 121) for all z e D[0,1].
1. Prove that for 0<x< , с 4C 1 1 Tx COS с Злх COS X= + + 5πχ COS с + 2 12 32 C 52
[3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that \f'(x) < 1/(1 - 1z| for all z e D[0, 1]. [3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that f'(x) < 1/(1-1-12 for all z e D[0, 1]
- 2 + x - 2 < 0 has no solutions. True False