UNIVERSITY OF MANCHESTER
REAL AND COMPLEX ANALYSIS
30 January 2009
Answer FIVE question including at least TWO questions in Section A and at least TWO
questions in Section B. Write your answers for Part A and for Part B in separate booklets. This
examination makes up 80% of the overall assessment for this course unit; the remaining 20% comes
from the coursework tests.
Electronic calculators may be used, provided that they cannot store text.
1 of 9 P.T.O.
A1. By verifying the appropriate definitions, prove
+ x + 2 = 14,