ลำด, บโคช, ในคณ, ตศาสตร, งกฤษ, cauchy, sequence, เป, นลำด, บท, สมาช, กเข, าใกล, นมากข, นเม, อลำด, บน, นล, วงไป, หร, อเม, อพ, จารณาพจน, ตำแหน, งส, งข, นเร, อย, หากกล, าวให, ดก, มย, งข, นค, เม, อกำหนดระยะห, างค, าบวกเป, นค, าน, อยเท, าไหร, ตาม, เก, อบท, กสมาช, ก. inkhnitsastr ladbokhchi xngkvs Cauchy sequence epnladbthismachikekhaiklknmakkhunemuxladbnnlwngip hruxemuxphicarnaphcnthitaaehnngsungkhuneruxy 1 hakklawihrdkumyingkhunkhux emuxkahndrayahangkhabwkepnkhanxyethaihrktam ekuxbthuksmachikkhxngladbykewnaetsmachikcanwncakdtw caxyuhangknnxykwarayahangthikahnd a krafthiidcakkarphlxtladbokhchi x n displaystyle x n sinaengin bnrabbphikdchak ethiybkbkha n displaystyle n thapriphumikhxngladbniepnpriphumibriburn aelwladbokhchicamilimitesmx b twxyangladbthiimepnladbokhchi smachikkhxngladbimidekhaiklmakkhuneruxy emuxphcnkhxngmnmakkhuneruxy ladbnitngchuxtamoxkusaetng hluys okhchienguxnikhthiwathukphcntidknkhxngladbcaxyuiklknethairkid arbitrarily close nnimephiyngphx twxyangechn ladbkhxngrakthisxngkhxngcanwnthrrmchati a n n displaystyle a n sqrt n phcnthixyutidkncaxyuiklknethaihrkid enuxngcak a n 1 a n n 1 n 1 n 1 n lt 1 2 n displaystyle a n 1 a n sqrt n 1 sqrt n frac 1 sqrt n 1 sqrt n lt frac 1 2 sqrt n aetladbdngklawimepnladbluekha thngniephraawaphcn a n displaystyle a n mikhamakidimcakd aelathukcanwnetmbwk n displaystyle n aelarayathangkhabwk d displaystyle d id camicanwnetmbwk m displaystyle m thithaih x m x n gt d displaystyle x m x n gt d ladbdngklawcungimepnladbokhchi enuxha 1 inrabbcanwncring 2 inpriphumiemtrik 3 khwambriburn 3 1 twxyang 4 xangxinginrabbcanwncring aekikhladb x 1 x 2 x 3 displaystyle x 1 x 2 x 3 ldots khxngcanwncringcaeriykwaepnladbokhchi ktxemux sahrbthukcanwncringbwk e displaystyle varepsilon camicanwnetmbwk N displaystyle N thithaihsahrbthukcanwnnb m n gt N displaystyle m n gt N caidwa x m x n lt e displaystyle x m x n lt varepsilon sahrbcanwncring r displaystyle r id ladbthiekidcakkarkracaythsniymaelwtdthxnthsniymtaaehnngtang khxng r displaystyle r caepnladbokhchi twxyangechn emux r p displaystyle r pi casrangladbokhchiidepn 3 3 1 3 14 3 141 ethxmthi m displaystyle m aela n displaystyle n khxngladbcatangknidmaksud 10 1 m displaystyle 10 1 m emux m lt n displaystyle m lt n cungsngphlihemux m displaystyle m mikhaotkhun phltangkhxngethxmthi m displaystyle m aela n displaystyle n canxykwacanwnbwk e displaystyle varepsilon idthikahndidinpriphumiemtrik aekikhenuxngcakniyamkhxngladbokhchinnichaenwkhidekiywkbemtrikethann cungsamarthkhyaynythwipyngpriphumiemtrik X d displaystyle X d id id odyepliynfngkchnkhasmburnkhxng x m x n displaystyle left vert x m x n right vert epnfngkchnemtrik d x m x n displaystyle d x m x n khxngpriphumiemtriknnkhwambriburn aekikhpriphumiemtrik X d displaystyle X d thithukladbokhchiluekhain X displaystyle X eriykwapriphumismburn twxyang aekikh rabbcanwncringepnpriphumismburnphayitemtrikkhasmburnpkti aelawithikarsrangcanwncringthiruckknthwipnnichladbokhchikhxngcanwntrrkya inkarsrangcanwncringkhangtn thukchnsmmulkhxngladbokhchikhxngcanwntrrkyathimiphvtikrrmxyangediywkn cathukkahndihepncanwncringxangxing aekikh Lang Serge 1993 Algebra Third ed Reading Mass Addison Wesley Pub Co ISBN 978 0 201 55540 0ekhathungcak https th wikipedia org w index php title ladbokhchi amp oldid 9488292, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,
