求极限.准确.lim(x-0) x的n次方-a的n次方分之(x的m次方-a的m次方)

问题描述:

求极限.准确.lim(x-0) x的n次方-a的n次方分之(x的m次方-a的m次方)

lim(x-0)[ x^m-a^m]/(x^n-a^n)=a^(m-n),(a不等于0)
lim(x-0)[ x^m-a^m]/(x^n-a^n)=lim(x-0)x^(m-n)=0,m>n
lim(x-0)[ x^m-a^m]/(x^n-a^n)=lim(x-0)x^(m-n)=无穷大,mlim(x-0)[ x^m-a^m]/(x^n-a^n)=lim(x-0)x^(m-n)=1,m=n