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Let F be a branch of the logarithm defined on C0, 00) with F(-1) = ni. (i) Find the power series of F about
Let F be a branch of the logarithm defined on C\0, 00) with F(-1) = ni. (i) Find the power series of F about a = -1. Where does this power series converge? Explain your answer. (ii) Where does F agree with the principal branch of the logarithm? (iii) Is F an anti-derivative of 1/z on C\ {0}?
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Probability And Statistics
Authors: Morris H. DeGroot, Mark J. Schervish
4th Edition
9579701075, 321500466, 978-0176861117, 176861114, 978-0134995472, 978-0321500465
