Suprema and infima of sequences, definition

Carrying over the idea of supremum and infimum of sets of reals to supremum and inimum of sequences of reals.

Let

(a_{n})_{n = m}^{\infty}

be a sequence of real numbers. Then we define

sup (a_{n})_{n = m}^{\infty}

to be the supremum of [...], and

inf (a_{n})_{n = m}^{\infty}

to be the infimum of the same [...].

03.11.2019