1.lim(x趋于0)x2/sinX2.lim(x趋于0)cosX-1/(x2+x)3.lim(x趋于1)inx/X2-1

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/23 16:33:22
1.lim(x趋于0)x2/sinX2.lim(x趋于0)cosX-1/(x2+x)3.lim(x趋于1)inx/X2-1
x)3ըxɮ> #̼#T]C} # Mcd9C̼ #]C"} V\;jYh"v>ٽWnzӉi(SP  iU-Ш6*1xX+>E0ԯ0hƳ-o}o߳Sv_\g g%

1.lim(x趋于0)x2/sinX2.lim(x趋于0)cosX-1/(x2+x)3.lim(x趋于1)inx/X2-1
1.lim(x趋于0)x2/sinX
2.lim(x趋于0)cosX-1/(x2+x)
3.lim(x趋于1)inx/X2-1

1.lim(x趋于0)x2/sinX2.lim(x趋于0)cosX-1/(x2+x)3.lim(x趋于1)inx/X2-1
lim(x趋于0)x2/sinX=lim(x趋于0)x2/x=lim(x趋于0)x=0(等价无穷小代换)
lim(x趋于0)cosX-1/(x2+x)=lim(x趋于0)-1/2*x^2/x(x+1)=lim(x趋于0)-1/2*x/(x+1)=0(等价无穷小代换)
lim(x趋于1)inx/X2-1=lim(x趋于1)(1/x)/(2x)=1/2(洛必达法则)