Word Count : 243

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The function is [ f(z) = \exp\left(\frac{z}{\sin z}\right). ] Singularities occur where the argument of the exponential is singular, i.e., where (\frac{z}{\sin z}) is not analytic. This happens when (\sin z = 0) and (z \neq 0) (we will check (z = 0) separately). 1. Solve (\sin z ______ _______ ___ _______ ____ _________ ______ _________.
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