当x趋向于无穷,求lim(1+1/2+1/4+…….+1/2^n)的极限

问题描述:

当x趋向于无穷,求lim(1+1/2+1/4+…….+1/2^n)的极限

lim(1+1/2+1/4+…….+1/2^n)的极限
=lim(1+1/2+1/4+…….+1/2^n)
=lim(1-1/2^n+1)/(1-1/2)
=lim2-1/2^n
=2