MAT334--2020F > Chapter 1

Question on past quiz problem

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

RunboZhang:
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.

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