lim(n→∞)(1+2^n)^1/n等于多少?
问题描述：
lim(n→∞)(1+2^n)^1/n等于多少?
答
lim(n→∞)(1+2^n)^1/n
=lim(n→∞)e^{[ln(1+2^n)]/n}
=lim(n→∞)e^{[ln(2^n)]/n}
=e^ln2
=2