Thursday, 23 August 2018

real analysis - Proving a limit using precise definition

Make a conjecture about limnsk , and prove your conjecture.



sk={k,if k is even1k,if k is odd



I have come to the conclusion that the limit does not exist? But I am unsure how to prove this using the precise definition of the limit. Do I choose a concrete number for epsilon and show that the limit will exceed that?

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