Re: [微積] 極限問題
lim = 10^n/n！
n->OO
→
06/22 11:24,
06/22 11:24
Consider n > 10 :
10^n 10 * 10 * ... * 10 10 *.....*10
0 < ______ = ____________________ * ________________ ≦ C * (10/11)^(n-10)
n! 1 * 2 * ... * 10 11 *.....*n
Since the RHS tends to zero as n tends to infinity,
by the Squeeze Thm , 10^n / n! ----> 0 .
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