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I am working on cauchy criterion and I am trying to show that a series converges to a limit. After showing basic proofs, i am trying to relate this to my case.
Now is the following that I have done correct?
Thanks for any help,
ps. Apologies for the infractions.
Sorry.
I have attached my question below. I am trying to show the convergence and giving Cauchy's Convergence Criterion. So I have defined Sn and Sm as you can see in the original attachment.
Part of the process is to take both sequences away from each other within the modulos. I am wondering if I have managed to take both sequences away from each other successfully.
Thanks