Toronto Math Forum

MAT334--2020F => MAT334--Lectures & Home Assignments => Chapter 1 => Topic started by: Luhan Zhuang on September 30, 2020, 10:11:56 AM

Title: Question on past quiz problem
Post by: Luhan Zhuang on September 30, 2020, 10:11:56 AM

Can someone plz help me to solve this problem which is to find the limit as z approaches infinity with steps?
thanks in advanced.

Title: Re: Question on past quiz problem
Post by: RunboZhang on September 30, 2020, 09:52:48 PM

Basically you can substitute z by re^i*theta and use the formula Log(z)=ln|z|+iArg(z)=lnr+i*theta where theta belongs to [-pi, pi). After rearranging you will have a sampled equation and it would be much easier to solve. The pic attached below is my solution, correct me if I am wrong.