Why can some asymptotes be crossed? I was taught that an asymptote cannot be crossed. My teacher then went and made my life a lot harder by countering what I've learned. Why can some asymptotes be crossed?

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2022-08-17

Why can some asymptotes be crossed?
I was taught that an asymptote cannot be crossed. My teacher then went and made my life a lot harder by countering what I've learned. Why can some asymptotes be crossed?

Answer & Explanation

Tamia Campbell

Tamia Campbell

Beginner2022-08-18Added 14 answers

The definition on Wikipedia is:
A line L is said to be an asymptote if the distance between the curve and the line becomes zero as t tends to .
Using this definition even if the curve crosses and cuts the asymptote but if its distance from the curve decreases then it is still an asymptote.

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