MAT334--2020F > Chapter 1

How to solve the question on section 1.4 of the text book Page42

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lilywq:
On the page 42 of the text book. Here is the question:

Find the limit at ∞ of the given function, or explain why it does not exist.
24. h(z) = Arg(z), z≠0

I wonder is the limit do not exist? and why this limit do not exist?

Victor Ivrii:
Try to solve it by yourself (it follows right from the definition)

shiyuancao:
Hint: How do we illustrate  $z \to \infty$ on a complex plane?