lim(x-sinx)/(x+sinx),x趋近于0

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/03 04:22:10

lim(x-sinx)/(x+sinx),x趋近于0
lim(x-sinx)/(x+sinx),x趋近于0

lim(x-sinx)/(x+sinx),x趋近于0
lim(x→0)(x-sinx)/(x+sinx)=lim(x→0)(1-cosx)/(1+cosx)=0

lim(x→0)(x-sinx)/(x+sinx)=lim(x→0)(1-cosx)/(1+cosx)=0

lim(x-sinx)/(x+sinx),x趋近于0
=lim(x-sinx)/(x+sinx)
=lim(x-sinx)/2x
=lim(1-cosx)/2
=lim(x²/2)/2
=0