Unformatted text preview: hood of ∞ and that lim z →∞ 1 p ( z ) = 0. [ Suggestion: You can avoid an argument involving ± by using the preceding exercise and the limit laws.] Exercise 3. Let log w denote the branch of the logarithm with arg w ∈ (π,π ]. a. Where is log( z 2 ) continuous? What about log( z 3 )? b. Let w 1 / 2 = e 1 2 log w . Where is (1 + z ) 1 / 2 continuous? What about (1z ) 1 / 2 ?...
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This note was uploaded on 02/29/2012 for the course MATH 4364 taught by Professor Ryandaileda during the Fall '11 term at Trinity University.
 Fall '11
 RyanDaileda

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