Question: If an increasing sequence converges, its limit is equal to its least upper bound, i.e.,limnxn=sup{xn}lim_{n to infty} x_n =sup{x_n}nlimxn=sup{xn} is this true?

If an increasing sequence converges, its limit is equal to its least upper bound, i.e.,limnxn=sup{xn}\lim_{n \to \infty} x_n =\sup\{x_n\}nlimxn=sup{xn} is this true?

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