当x→0时分子sin(x^n)=x^n,sin(x)^m=x^m,所以limsin(x^n)/sin(x)^m=limx^(n-m)所以
n=m时,limsin(x^n)/sin(x)^m=limx^(n-m)=1
n>m时,limsin(x^n)/sin(x)^m=limx^(n-m)=0
n<m时,limsin(x^n)/sin(x)^m=limx^(n-m)=∞
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当x→0时分子sin(x^n)=x^n,sin(x)^m=x^m,所以limsin(x^n)/sin(x)^m=limx^(n-m)所以
n=m时,limsin(x^n)/sin(x)^m=limx^(n-m)=1
n>m时,limsin(x^n)/sin(x)^m=limx^(n-m)=0
n<m时,limsin(x^n)/sin(x)^m=limx^(n-m)=∞