求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))

来源：学生作业帮助网编辑：作业帮时间：2024/11/25 01:02:25

x��A �0E�2��i�ps��;A��P�n��ν{O#��-�� A!L�L��y��BLIe��/|�HǤ�D�HJ;]�,��k��$(�P�^40>�C(��-��`�Ɂ��رO�� S�u*� ��"�M� e��#��;�n�/�$!�ڝ��Չ�-�� kmh^�O�q�

求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))
求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))

求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))
1/(2n) + 3/(4n) +…… + (2^n-1)/(2^n*n))
= [(1-1/2) + (1- 1/4) + (1- 1/8) + .+ (1- 1/2^n) ] / n
= 1 - ( 1/2 + 1/4 + 1/8 + 1/2^n ) / n
= 1 - [ 1/2 - 1/2^(n+1)] / (1-1/2) / n
0 < [1/2 - 1/2^(n+1)] / (1-1/2) / n < [1/2 / (1-1/2) ] /n = 1/n -> 0
原式 = 1 - 0 = 1

求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n)) lim (1+2/n)^n+4 n-->无穷大求极限求极限lim 2/(3^n-1) 求lim(n->无穷)(3n+5)/(n^2+n+4)^1/2的极限求极限 lim【1/（n^2+n+1）+2/（n^2+n+2）+3/（n^2+n+3）+……+n求极限 lim【1/（n^2+n+1）+2/（n^2+n+2）+3/（n^2+n+3）+……+n/（n^2+n+n）】n趋向于无穷过程及我的错误点求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2)) 求lim n→∞ 1+2+…+n/2n+1的极限 Lim(1-3/2n)^4n+5.n趋于无穷,求极限 matlab 求极限lim(1+1/2+1/3+1/4+……+1/n-lnn),n->无穷求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞) lim n →∞ (1^n+3^n+2^n)^1/n,求数列极限求极限lim(x→∞)（1/n+2/n+3/n..+n/n）求这个极限lim(n→∞）[1/1*2+1/2*3+……+1/n(n-1)] 大一求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2))pi/4 lim(n→∞) 1/(n+1)-2/(n+1)+3/(n+1)-4/(n+1)+...+[(2n-1)/(n+1)]-[(2n)/(n-1)]求极限求极限lim(n+1/n+3)^n如题求极限n~∞,lim(n+1)/2n 求极限Lim（(n-x)/(n+2))^(n+1)