Laurent Series for f(z)=(1+2z)/(z^2+z^3)

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The discussion focuses on seeking feedback for the Laurent series of the function f(z)=(1+2z)/(z^2+z^3). The user has provided links to three pages of their work for review. They express confidence in their findings and request comments from others. The shared images contain detailed calculations and steps taken to derive the series. Overall, the user is looking for validation and constructive criticism on their approach to the problem.
opticaltempest
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Would anyone be willing to check and comment on my work for finding the Laurent series of

f(z)=\frac{1+2z}{z^2+z^3} ?

Page 1 - http://img23.imageshack.us/img23/7172/i0001.jpg"

Page 2 - http://img5.imageshack.us/img5/2140/i0002.jpg"

Page 3 - http://img15.imageshack.us/img15/2753/i0003.jpg"

I also displayed the pages below.

Page 1

http://img23.imageshack.us/img23/7172/i0001.jpg


Page 2

http://img5.imageshack.us/img5/2140/i0002.jpg


Page 3

http://img15.imageshack.us/img15/2753/i0003.jpg


Thanks in advance!
 
Last edited by a moderator:
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It looks good to me!
 
Thanks!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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