函數(shù)極限證明證明
習(xí)題1?31.根據(jù)函數(shù)極限的定義證明:(1)lim(3x?1)?8;x?3(2)lim(5x?2)?12;x?2x2?4??4;(3)limx??2x?21?4x3(4)lim?2.x??2x?121證明 (1)分析 |(3x?1)?8|?|3x?9... [全文]
習(xí)題1?31.根據(jù)函數(shù)極限的定義證明:(1)lim(3x?1)?8;x?3(2)lim(5x?2)?12;x?2x2?4??4;(3)limx??2x?21?4x3(4)lim?2.x??2x?121證明 (1)分析 |(3x?1)?8|?|3x?9... [全文]
習(xí)題1.按定義證明下列極限:(1) limx???6x?5=6 ;(2) lim(x2-6x+10)=2; x?2xx2?5?1 ;(4) lim?(3) lim2x???x?1x?2(5) limcos x = cos x0 x?x04?x2=0... [全文]
習(xí)題1.按定義證明下列極限:(1) limx???6x?5=6 ;(2) lim(x2-6x+10)=2; x?2xx2?5?1 ;(4) lim?(3) lim2x???x?1x?2(5) limcos x = cos x0 x?x04?x2=0... [全文]
函數(shù)極限證明記g(x)=lim^(1/n),n趨于正無(wú)窮;下面證明limg(x)=max{a1,...am},x趨于正無(wú)窮。把max{a1,...am}記作a。不妨設(shè)f1(x)趨于... [全文]