MATH 301 Midterm: MATH 301 2013 Winter Test 2
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Instructions: explain your reasoning thoroughly, and justify all answers (even if the question does not speci cally say so), calculators, but no other aides are permitted, if you need more space, additional paper is available. Always note which questions are solved in a separate booklet, or they may not be graded: duration: 150 minutes. State which branch and the contour you are using. Consider the branch of (z3 2z2)1/3 given by f (z) = exp( 2. Justify your claim, do not forget a possible branch point at . 3 log z + 1: express f using the range of angles method. Page 4 of 8: find the limit of f (z) as z approaches 1 from above and from below, find the limit of f (z) as z approaches 1 from above and from below. If f (z) = p (z) of f at its poles is 0.
