(1) Is asymptote must be a straight line?
(2) For y = x^3/(x - 1) = x^2 + x + 1 + 1/(x - 1), is y = x^2 + x + 1 an asymptote of the curve? If not, any name for it ? What is the implication of y = x^2 + x + 1 ?
Asymptote
2012-07-18 5:12 pm
回答 (2)
2012-07-18 10:45 pm
✔ 最佳答案
From wiki,Asymptote can be a curve (curvilinear asymptote)
Just as the example you mentioned, the asymptote is x^2 + x + 1
It is called a parabolic asymptote.
Hope this helps =]
參考: 黑白灰_唯物主義者
2012-07-18 10:15 pm
(1) asymptote must be a straight line.(2) y = x^3/(x - 1) = x^2 + x + 1 + 1/(x - 1).y = x^2 + x + 1 is not an asymptote. It just means that when x -> infinity. The graph of x^3/(x - 1) and x^2 + x + 1 will become similar
you can use http://www.meta-calculator.com/online/ to graph these curves
you can use http://www.meta-calculator.com/online/ to graph these curves
收錄日期: 2021-04-26 19:18:29
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