Question: Consider the interval (0,5]. Construct a sequence of real numbers (Un) in this interval such that it has two subsequences, both of which are Cauchy

Consider the interval (0,5]. Construct a sequence of real numbers (Un) in this interval such that it has two subsequences, both of which are Cauchy sequences, but such that one of subsequences converges in this interval and the other does not. Identify an accumulation point of sequence (u_n).

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