求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 00:05:38
求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x求这道题的极限lim(x→0)(∫(0,x)cost

求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x
求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x

求这道题的极限lim(x→0)(∫(0,x)cost²dt)/x
解析:用洛必达法则!
原式=lim(x→0)[∫(0,x)cost²dt]/x
=cosx²
=cos0
=1