數(shù)列夾逼準則的證明(合集)證明
例1 設數(shù)列?xn?滿足0?x1??,xn?1?sinxn?n?1,2,??。(Ⅰ)證明limxn存在,并求該極限;n???xn?1?xn(Ⅱ)計算lim??。n???xn?解(Ⅰ)用歸納法證明?xn?單調下降且有下界,由0?x1??,... [全文]
例1 設數(shù)列?xn?滿足0?x1??,xn?1?sinxn?n?1,2,??。(Ⅰ)證明limxn存在,并求該極限;n???xn?1?xn(Ⅱ)計算lim??。n???xn?解(Ⅰ)用歸納法證明?xn?單調下降且有下界,由0?x1??,... [全文]
第一講 數(shù)列極限一、數(shù)列極限的收斂準則1.數(shù)列極限的夾逼準則a)數(shù)列{xn},{yn},{zn}滿足:i.yn#xnzn(n N0)ii.nlimyn=nlimzn=a則數(shù)... [全文]