数列{an}满足lim(an+1-an)=a,证明liman/n=a
问题描述:
数列{an}满足lim(an+1-an)=a,证明liman/n=a
答
lim(an+1-an)=lim(an+1-an)/(n-(n-1))=a,由于{n}单调增,由Stolz定理,liman/n=a
数列{an}满足lim(an+1-an)=a,证明liman/n=a
lim(an+1-an)=lim(an+1-an)/(n-(n-1))=a,由于{n}单调增,由Stolz定理,liman/n=a