- #1

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- Homework Statement
- See attached.

- Relevant Equations
- Complex Numbers

My interest is only on part (a). Wah! been going round circles to try understand why the radius = ##2##. I know that the given sequence is both bounded and monotonic. I can state that its bounded above by ##1## and bounded below by ##0##. Now when it comes to the radius=##2##, i can also say that the boundary of set ##S## also consists/ includes the complement of the set and that will gives us;

##r^2=\sqrt{(1--1)^2+(0-0)^2}=\sqrt{4}##

##r=2.##

I hope this is the correct reasoning, otherwise i need your insight...i also tried looking at the cauchy criterion,... among other...

##r^2=\sqrt{(1--1)^2+(0-0)^2}=\sqrt{4}##

##r=2.##

I hope this is the correct reasoning, otherwise i need your insight...i also tried looking at the cauchy criterion,... among other...