According to the following link, a vertical asymptotes indicate very specific behavior in the function. Can you explain what type of behavior is the author talking about? http://www.purplemath.com/modules/asymtote2.htm

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According to the following link, a vertical asymptotes indicate very specific behavior in the function. Can you explain what type of behavior is the author talking about? http://www.purplemath.com/modules/asymtote2.htm

Mathematics
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the curve will approach a point on the graph but never actually touch it
for example x^2/(x-3) will approach the value of 3, but since it cannot be divided by zero it will never actually reach 3
What about the vertical asymptotes?

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here's a picture of a vertical asymptote http://mathworld.wolfram.com/Asymptote.html
in that example the curve approaches 0, but instead of the x value ever reaching 0 it keeping getting closer and closer to 0 without ever touching it while the y value continues to infinity
I just read that horizontal asymptotes can be touched and even crossed. Whay does that happens. What are more importat? vertical or horizontal?
horizontal asymptotes can be crossed when near to the center of the graph.....and the graph continues onward it will eventually behave similarly to a vertical asymptote and no longer cross it
both are important, but vertical asymptotes may be more so
Last question...what is the physical meaning of horizontal asymptotes?
im not entirely sure what that question means, but i think the answer theyre looking for is that the curve will approach a number which is the limit for the function as x goes to infinity
ahhh ok. Thank you very much. Your a lifesaver
np anytime....hope that all made sense
sure it does :)

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