第二题，求大神
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lim n->∞ [(n+1)(n+2)........(n+n)]^1/n / n
=lim n->∞ [n(1+1/n) * n (1+2/n) *..........n(1+1)]^1/n / n
=lim n->∞[n^n (1+1/n)(1+2/n)...........(1+1)]^1/n /n
=lim n->∞n[ (1+1/n)(1+2/n)...........(1+1)]^1/n /n
=lim n->∞[ (1+1/n)(1+2/n)...........(1+1)]^1/n
=lim n->∞(1+1/n)^1/n *(1+2/n)^1/n ...............(1+1)^1/n
=1*1*1*.........1
=1
=lim n->∞ [n(1+1/n) * n (1+2/n) *..........n(1+1)]^1/n / n
=lim n->∞[n^n (1+1/n)(1+2/n)...........(1+1)]^1/n /n
=lim n->∞n[ (1+1/n)(1+2/n)...........(1+1)]^1/n /n
=lim n->∞[ (1+1/n)(1+2/n)...........(1+1)]^1/n
=lim n->∞(1+1/n)^1/n *(1+2/n)^1/n ...............(1+1)^1/n
=1*1*1*.........1
=1
追问
答案是e分之4
追答
哦，看来我算错了。
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