lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/27 18:56:48
lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}
x)ըx6@S#9بBHWhWGa]g~OgQaMR>: lho H-BKQqfi&ci 7TmXB4$ف x

lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}
lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}

lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}
lim(x→0)(cos2x-cos3x)/{[(1+x^2)^1/2]-1}
=lim(x→0)[2sin(5x/2)sin(x/2)]/{[(1+x^2)^1/2]-1}
=lim(x→0)[5x^2/2*{[(1+x^2)^1/2]+1}/x^2
=5.