1+1/2+1/4……+1/2的n次方=1-1/2的n次方
1+1/3+1/9……+1/3的n次=1/2-1/2*1/3的n+1次方
lim(1+1/2+1/4……+1/2的n次方)/(1+1/3+1/9……+1/3的n次)
n-无穷大
=lim(1-1/2的n次方)/(1/2-1/2*1/3的n+1次方)
n-无穷大
=1/(1/2)
=2
1+1/2+1/4……+1/2的n次方=1-1/2的n次方
1+1/3+1/9……+1/3的n次=1/2-1/2*1/3的n+1次方
lim(1+1/2+1/4……+1/2的n次方)/(1+1/3+1/9……+1/3的n次)
n-无穷大
=lim(1-1/2的n次方)/(1/2-1/2*1/3的n+1次方)
n-无穷大
=1/(1/2)
=2