Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT334--2020S
»
MAT334--Tests and Quizzes
»
Quiz 2
»
TUT5101 QUIZ2
« previous
next »
Print
Pages: [
1
]
Author
Topic: TUT5101 QUIZ2 (Read 6434 times)
Yiheng Bian
Full Member
Posts: 29
Karma: 12
TUT5101 QUIZ2
«
on:
January 30, 2020, 12:42:13 AM »
Question:
$$
h(z)=\frac{Log(z)}{z}
$$
We know when
$$
z \rightarrow \infty
$$
$$
Log(z) \rightarrow \infty
$$
So we can use L'Hopital rules and get
$$
\frac{1}{z}
$$
So
$$
\text{limit is zero}
$$
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: TUT5101 QUIZ2
«
Reply #1 on:
January 30, 2020, 06:39:52 AM »
Wrong reasoning
Logged
Yiheng Bian
Full Member
Posts: 29
Karma: 12
Re: TUT5101 QUIZ2
«
Reply #2 on:
January 30, 2020, 09:25:16 PM »
Sorry sir, , could you point it out?
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: TUT5101 QUIZ2
«
Reply #3 on:
January 31, 2020, 09:05:11 AM »
You cannot use LH out of the box for complex variables. You need to consider $z=re^{i\theta}$ and consider $\bigl|\dfrac{\operatorname{Log}(z)}{z}\bigr|$ ...
Logged
Yiheng Bian
Full Member
Posts: 29
Karma: 12
Re: TUT5101 QUIZ2
«
Reply #4 on:
January 31, 2020, 11:31:11 PM »
Ok, I got it. Thank you sir
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT334--2020S
»
MAT334--Tests and Quizzes
»
Quiz 2
»
TUT5101 QUIZ2