[大學]請問這題怎麼做呢

[大學]請問這題怎麼做呢

訪客 於 星期五 十月 05, 2012 8:15 am


s(t)=t/sint 要尋找他的垂直近漸線

手中的詳解解釋的不是很好

另外想詢問 如果不用羅畢達定理 我該怎麼證明出他會趨近於1呢?? 感謝各位大大

訪客

 

gkw0824usa 於 星期五 十月 05, 2012 2:22 pm


(I thought this was a high school problem)
Alright here we go.
(1) It is easy to determine vertical asymptotic lines. Consider左鍵: 點擊縮放; 右鍵: 觀看原圖, then x = t0 is the vertical asymptotic line.
(2)I'll give you a hint on this one :
consider 0≦ t ≦π/2.
Now it can be shown that sin(t) ≦ t ≦ tan(t)  (think about why this is true; a geometric viewpoint may help)
Then work the inequality to fit your need and use squeeze theorem. :)
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gkw0824usa
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