Can anyone help with this question? Find the power series expansions of (a) log z about z = 1; (b) 1/(1 + z) about z = −5. What is the radius of convergence in each case? Thanks for any help
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Originally Posted by alawrie Can anyone help with this question? Find the power series expansions of (a) log z about z = 1; (b) 1/(1 + z) about z = −5. What is the radius of convergence in each case? Thanks for any help For (a), where are you stuck? What have you tried? (b) Note that . Region I: . and you can get a series using the sum of an infinite geometric series, noting that . Region II: . and you can get a series using the sum of an infinite geometric series, noting that .
Last edited by mr fantastic; Feb 10th 2010 at 05:03 PM. Reason: Fixed a couple of bad typos.
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