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Question: i have all the answers to these but dont know...

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28. Suppose that f- u iv is continuous at zo. Show that each of the functions u, v, u -v, and (u2 + v2)12 are also continuous at zo Conversely, show that if u and v are continuous at zo, then so is f. 0% 29. Let u be a continuous function on a domain D. Suppose that u has this property: For each point p e D, there is a disc Δ centered at p on which u is constant. Conclude that u is constant throughout D. You will have to use the fact that D is a domain. Infinite Series 30. Suppose that Σ-a, converges. Show that lim ,O an-0. naon

I have all the answers to these but dont know how to get the answers..

can anyone show all the steps for these complex variable problems.

Thank you!

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