x→0时,cosx-cos2x=2sin(3x/2)sin(x/2),等价于2*3x/2*x/2=3/2*x^2.(sinx)^2等价于x^2.所以cosx-cos2x与(sinx)^2是同阶无穷小.
当x趋于0时,比较下列无穷小量.
x→0时,cosx-cos2x=2sin(3x/2)sin(x/2),等价于2*3x/2*x/2=3/2*x^2.(sinx)^2等价于x^2.所以cosx-cos2x与(sinx)^2是同阶无穷小.