[討論] 當x趨近於無限大時
當x趨近於無限大時
(1/x)^(1/x)趨近於多少
<Sol>
lim (1/x)^(1/x) = lim e^(1/x)ln(1/x)
= e^ lim (ln(1/x))/x
= (1/e)^ lim (ln x)/x
= (1/e)^ lim (1/x)/1 [by L'Hospital Rule]
= (1/e)^0
= 1
應該是這樣
不好排版...
希望看得懂...
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