(2∧n+3∧n)/(2∧(n+1)+3∧(n+1))当n趋近于无穷大时的极限是多少详解

问题描述:

(2∧n+3∧n)/(2∧(n+1)+3∧(n+1))当n趋近于无穷大时的极限是多少
详解

lim(x→∞)(2∧n+3∧n)/(2∧(n+1)+3∧(n+1))
=lim(x→∞)[(2/3)∧n+1]/[2(2/3)∧n+3]
=1/3