The discussion focuses on identifying the location and type of singularity for the function f(z) = 1/sin²(z). Participants emphasize using the definition of singularities, noting that a singularity occurs at points where sin(z) = 0. The order of the singularity can be determined by analyzing the limit of (z-a)ⁿ/f(z-a) as z approaches a. This method provides a clear pathway to classify the singularities based on the behavior of the sine function.
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Darth Frodo said:Homework Statement
Determine the location and type of singularity of f(z) = 1/sin^2(z)
Homework Equations
The Attempt at a Solution
I'm not really sure how to calculate this. At this point, we don't have explicit formulae for the coefficients of a Laurent series so I really don't know what to do. Taylor series?
Any help would be much appreciated. Thanks.