The book I am using for my Advance Calculus course is Introduction to Analysis by Arthur Mattuck.
Prove if {$a_n$} $\rightarrow$ $\infty$, then {$a_n$} is not bounded above. Give an indirect proof.
This is my rough proof to this question. I was wondering if anybody can look over it and see if I made a mistake or if there is a simpler way of doing this problem. I want to thank you ahead of time it is greatly appreciated.So lets begin:
Proof:
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