Unformatted text preview: z = ∞ X n =0 z 2 n +1 (2 n + 1)! for all z ∈ C . Exercise 3. Determine the orders of all of the zeros of f ( z ) = z sin( z 2 ). Exercise 4. What is the order of the zero of f ( z ) = e z 3-1-z 3 at the origin?...
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- Fall '11
- Taylor Series, Complex number, Hyperbolic function