Re: [考古] 兩題問題
※ 引述《grant310657 (Q賢)》之銘言：
: http://www.wretch.cc/album/show.php?i=grant780219&b=8&f=1935148662&p=0
1.
1/x
l i m e - (1+x) 0
------------- (~ --- 不定型)
x→ 0 x 0
1/x
l i m {ln(1+x)/(x^2) - 1/[x(1+x)]} (1+x)
= -----------------------------------------
x→ 0 1
l i m 1/x l i m (x+1)ln(x+1)-x
= (1+x) * -----------------
x→ 0 x→ 0 (x^2)(x+1)
l i m ln(x+1) + 1 - 1
= e * ------------------
x→ 0 2x(x+1) + x^2
l i m 1
= e * -----------------
x→ 0 2(x+1)[(x+1)+2x]
e
= ---
2
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 219.70.179.171
討論串 (同標題文章)