HelmutKnaust: Created page with "'''Problem 11.''' Let $X$ be a non-empty set that is bounded from below. Show that there is a '''decreasing''' sequence $(x_n)_{n=1}^\infty$ of elements in $X$ that converges ..."

2013-09-17T18:53:26Z

Created page with "'''Problem 11.''' Let $X$ be a non-empty set that is bounded from below. Show that there is a '''decreasing''' sequence $(x_n)_{n=1}^\infty$ of elements in $X$ that converges ..."

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'''Problem 11.''' Let $X$ be a non-empty set that is bounded from below. Show that there is a '''decreasing''' sequence $(x_n)_{n=1}^\infty$ of elements in $X$ that converges to $\inf X$.

'''Problem 12.''' Exercise 2.3.10

'''Problem 13.''' Exercise 2.3.11

'''Problem 14.''' Exercise 2.4.2

'''Problem 15.''' Exercise 2.4.5

CRN 12109: HW 3 - Revision history

HelmutKnaust: Created page with "'''Problem 11.''' Let $X$ be a non-empty set that is bounded from below. Show that there is a '''decreasing''' sequence $(x_n)_{n=1}^\infty$ of elements in $X$ that converges ..."