Laurent series and partial fractions

  • #1

Homework Statement



find the laurent series of sin(2z)/(z^3) in [z]>0

Homework Equations





The Attempt at a Solution


I am completely confused. I can understand some of the examples given on laurent series, like using partial fractions and then finding geometric series. Do I rewrite the denominator as 1-(z^3+1)? This one I'm totally confused on. Please help
 
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Answers and Replies

  • #2
125
0
You don't need partial fractions here. Think of a way to write the sine function as a series.
 
  • #3
256
2
Always remember that a Laurent series is unique, so if you can find a way to express a function as a power series, then it is the Laurent series.
 

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