(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Sketch the closure of the set:Re(1/z)=< 1/2

[ b]2. Relevant equations[/b]

3. The attempt at a solution

Re(1/z)=Re(1/(x+iy)

Re(1/(x+iy))=< 1/2. Not really sure how to sketch 1/2 on a complex plane. Maybe 1/2 can be written in a complex form: 1/2= (1/2)+(0)*i=1/2 and therefore , 1/2 only lies exclusively on the x-axis.

Not even entirely sure how to sketch the Re(1/z) on a complex plane. Generally, Re(z)=x and therefore would Re(1/z)=1/x?

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# Homework Help: Sketching the closure of a set

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