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Please answer the question with detailed steps and explanations.
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Please answer the question with detailed steps and explanations.
Please answer the question with detailed steps andexplanations.
e2niz 1. Let f(z) = Suppose y₁ is the circle centred at 1 with radius 1, travelled once with positive orientation, z²+i and Y2 is the circle centred at 2i with radius 1, travelled once with positive orientation. (1a) (5 points) Find all isolated singularities of f(z), and determine their types. S. (1b) (5 points) Compute ¹S. Y2 f(z)dz and f(z)dz.
e2niz 1. Let f(z) = Suppose y₁ is the circle centred at 1 with radius 1, travelled once with positive orientation, z²+i and Y2 is the circle centred at 2i with radius 1, travelled once with positive orientation. (1a) (5 points) Find all isolated singularities of f(z), and determine their types. S. (1b) (5 points) Compute ¹S. Y2 f(z)dz and f(z)dz.