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Asymptotes

The vertical line x = a is a vertical asymptote of the function f if the limit of f(x) as x goes to a from the right or from the left is equal to $\infty $ or $-\infty $. To say that the limit of f (x) as  x goes to a  from the right is equal to ∞, which is written asMATHmeans that the values of f(x) become arbitrarily large if x is sufficiently close to, but greater than, the number a.

The horizontal line y = c is a horizontal asymptote of the function f  if the limit of f(x) as x goes to $\infty $ or $-\infty $ is equal to c.



vertical asymptote
horizontal asymptote
vertical asymptote
horizontal asymptote



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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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