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MAT334--2020S
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Quiz 2
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TUT5101 QUIZ2
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Topic: TUT5101 QUIZ2 (Read 6730 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
$$
\text{limit is zero}
$$
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Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: TUT5101 QUIZ2
«
Reply #1 on:
January 30, 2020, 06:39:52 AM »
Wrong reasoning
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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?
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Victor Ivrii
Administrator
Elder Member
Posts: 2607
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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 $\bigl|\dfrac{\operatorname{Log}(z)}{z}\bigr|$ ...
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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
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Toronto Math Forum
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MAT334--2020S
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MAT334--Tests and Quizzes
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Quiz 2
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TUT5101 QUIZ2