# Toronto Math Forum

## MAT334--2020F => MAT334--Lectures & Home Assignments => Chapter 1 => Topic started by: lilywq on October 01, 2020, 09:02:38 PM

Title: How to solve the question on section 1.4 of the text book Page42
Post by: lilywq on October 01, 2020, 09:02:38 PM
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?
Title: Re: How to solve the question on section 1.4 of the text book Page42
Post by: Victor Ivrii on October 03, 2020, 04:47:21 AM
Try to solve it by yourself (it follows right from the definition)
Title: Re: How to solve the question on section 1.4 of the text book Page42
Post by: shiyuancao on October 08, 2020, 09:11:51 PM
Hint: How do we illustrate  $z \to \infty$ on a complex plane?