求(1+1/t)^[(2t+1)/2]的极限

Question

求(1+1/t)^[(2t+1)/2]的极限

Answer 1

是t→∞吧
lim(t→∞)(1+1/t)^[(2t+1)/2]
=lim(t→∞)(1+1/t)^[t+1/2]
=lim(t→∞)(1+1/t)^t*(1+1/t)^[1/2]
=e