问题
填空题
计算:
|
答案
设
=t,则n=3n+1 2 2t-1 3
(1+lim n→∞
)n=2 3n+1
(1+lim n→∞
)1 t
=2t-1 3
=e
[(1+lim n→∞
)t] 1 t 2 3
(1+lim n→∞
)1 t 1 3 2 3
故答案为:e
.2 3
计算:
|
设
=t,则n=3n+1 2 2t-1 3
(1+lim n→∞
)n=2 3n+1
(1+lim n→∞
)1 t
=2t-1 3
=e
[(1+lim n→∞
)t] 1 t 2 3
(1+lim n→∞
)1 t 1 3 2 3
故答案为:e
.2 3