lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/18 18:45:32
lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞
x)067FqF`DQ2Djjj*=jcBT _MR>y6$Z;3k|9s“3^dGÓ4 uA

lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞
lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞
lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞

lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞
给极限乘以一个(1-1/2),最后再除以它,就可以了,
原式=2lim(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1)))
=2lim[1-1/2^(2^n )] (n→∞)
=2

lim(1+1/2)+(1+2^2)(1+2^4)…(1+1/2^(2^(n-1))) n→∞
lim(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1))) n→∞
给极限乘以一个(1-1/2)，最后再除以它，就可以了，
原式=2lim(1-1/2)(1+1/2)(1+1/2^2)(1+1/2^4)…(1+1/2^(2^(n-1)))
=2lim[1-1/2^(2^n )] (n→∞)
=2

X趋于0 Lim(xlnx)=Lim(lnx/(1/x))=Lim(1/x/(-1/x^2))=Lim(-x)=0Lim(lnx/(1/x))=Lim(1/x/(-1/x^2))其中这步使怎么转化的? lim(2an+4bn)=1 lim(3an-bn)=2 求lim(an+bn) lim(2an+4bn)=1 lim(3an-bn)=2 求lim(an+bn) 极限的简单运算lim an=3, lim bn=1/3, 求lim ((an-3bn)/2an) lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? 极限：lim(x->2)1/(x-2) lim (e^x-sinx-1)/(arcsinx^2) lim 1/(x-2). 存在极限吗? Lim(-1/2)^n的极限是什么 求极限lim 2/(3^n-1) lim(1-(5/x))^x-2 lim(x+e^2x)^(1/sinx) lim(1+2/n)^m的极限? lim(x->0)(2xsinx)/(secx-1) lim(1-x)^(2/x) x->0 高数 lim n趋向无穷 lim（3^(1/n)-1)ln(2+2^n) 求lim(1-cosx)/x^2求lim(1-COSX)/X^2X→0