数列极限的题目,lim m→+∞ [(m-1)/1+(m-2)/2+(m-3)/3+.+3/(m-3)+2/(m-2)

来源：学生作业帮编辑：大师作文网作业帮分类：综合作业时间：2024/11/17 05:10:53

数列极限的题目,
lim
m→+∞
[(m-1)/1+(m-2)/2+(m-3)/3+.+3/(m-3)+2/(m-2)+1/(m-1)]/m
请问等于多少,
先不看极限,+到1/(m-1),比如m是10,就是9/1+8/2+7/3+6/4+5/5+4/6+3/7+2/8+1/9

[(m-1)/1+(m-2)/2+(m-3)/3+.+3/(m-3)+2/(m-2)+1/(m-1)]/m
=[m(1+1/2+1/3+……+1/m)-m]/m
=(1+1/2+1/3+……+1/m)-1
=lnm－1＋欧拉（EULER）常数γ,
近似计算γ=0.5772156.

数列极限的题目,lim m→+∞ [(m-1)/1+(m-2)/2+(m-3)/3+.+3/(m-3)+2/(m-2) 已知m＞4,化简|m-4|+|7-2m|+|m×m-2m+1|-|m×m-2m-3| lim(1+2/n)^m的极限? 若m*m-3m+1=0,求分式2m*m+2\m*m的值, (1m+3m+5m+...+2009m)-(2m+4m+6m+...=2008m) (m+3m+5m+.+2008m)-(2m+4m+6m+.+2009m) (m+3m+5m+...+2009m)-(2m+4m+6m+...2008m) m-2m-3m+4m-5m-6m+7m.2004m=? 计算:(m+3m+5m+...+2009m)-(2m+4m+6m+...+2010m) (m+3m+5m+...+2013m)-(2m+4m+6m+...+2012m) (m+3m+5m.+2013m)-(2m+4m+6m+.+2012m)=? (m+3m+5m+...+2014m)-(2m+4m+6m+...+2013m)

数列 极限的题目,lim m→+∞ [(m-1)/1+(m-2)/2+(m-3)/3+.+3/(m-3)+2/(m-2)