I need to prove that {(2n+1/n} is Cauchy. I know that the theorem states that if |s_m-s_n| < epsilon for n>=N, then the sequence is Cauchy, but I am not sure how to start.
Yes, it is absolutely obvious, and thank you. We don't get much in class except the proofs of the theorems, no examples with actual numbers in them. I am sometimes slow to relate one to the other! I will use these calculations in formulating a proof and, if need be, as for further help, if that is ok. Thank you very much!