Math and science::Analysis::Tao::06. Limits of sequences

# 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 [...].