Hello everyone,
I am to use the delta-epsilon definition of a limit to show that the following limit does not exist. Unfortuantely, neither my instructor nor my textbook offer any worked examples or guides as to do this so I have been quite disillusioned so far. I have posted two attempts at proof below.
Thank you very much for your help.
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Prove that
does not exist.
Proof #1: I came up with this but I don't think that it works because x depends solely on L. I think that delta should be in my
somewhere since I have to show that for any
, the definition of a limit does not hold.
If I am indeed right about this problem, how should I modify my proof?
Proof #2: I was suggested to use this value of x by my instructor. However, I don't understand how this version would generate a contradiction.