"label":"The convergence of bounded sequences follows from Dedekind's theorem which guarantees the existence of suprema of bounded sets."
"label":"The convergence of bounded sequences follows from Dedekind's theorem which guarantees the existence of suprema of bounded sets."
},
},
"105-114":{
"105-114":{
"source":"106",
"source":"105",
"target":"114",
"target":"114",
"label":"The limit of a monotonic increasing and bounded sequence is precisely the supremum of its function values. An analogous connection holds for the infimum."
"label":"The limit of a monotonic increasing and bounded sequence is precisely the supremum of its function values. An analogous connection holds for the infimum."