[微積] 漸近線

看板Math作者 (欸欸欸)時間8年前 (2017/12/25 14:43), 編輯推噓1(1推 0噓 4→)
留言5則, 1人參與, 8年前最新討論串1/1
請問一下這題的漸近線是什麼 https://i.imgur.com/3OCvijM.jpg
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推
12/25 17:57, 8年前 , 1F
as x approaches +infinity, 1/x approaches 0,
12/25 17:57, 1F
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12/25 17:58, 8年前 , 2F
use Maclaurin expansion of sin(1/x)=1/x-1/6x^3+-
12/25 17:58, 2F
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12/25 18:00, 8年前 , 3F
to visualize that (one of)the asymptotic lines
12/25 18:00, 3F
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12/25 18:01, 8年前 , 4F
is y=x^2*1/x=x, similarly y=-x also fits
12/25 18:01, 4F
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12/25 18:06, 8年前 , 5F
sorry, I withdraw the answer of y=-x
12/25 18:06, 5F
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