Re: [考古] 台聯大 96 搶先報~
※ 引述《ROGER2004070 (痛定思痛)》之銘言:
: ※ 引述《EricDampier (蛋皮)》之銘言:
: : 監試人員一時糊塗...竟然說考卷給你們帶回去當禮物
: : 後來第二節他去問才知道試卷也要收回
: : 所以就被拿回來當禮物了...
: : 甲.填充
: 1.(a)
: tan(2x)ln(tan x)
: lim e
: x→(π/4)-
這是我考試的解法:
2u
令tanx=u => tan2x= ------ , x→(π/4)- => u→1-
1-u^2
lim 2u*lnu/(1-u^2)
(2u/1-u^2)lnu u→1-
原式= lim e = e (0/0 型)
u→1-
lim (2u*lnu)'/(1-u^2)' lim (2lnu+2)/-2u
u→1- u→1- -1
= e = e = e
--
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