Why can horizontal asymptotes be crossed? • Physics Forums
Aug 5, 2007 · Horizontal asymptotes can indeed be crossed by functions, as they describe the behavior of a function as it approaches infinity rather than restricting its values at finite points. …
What is an asymptote and why doesn't parabola have one?
Oct 1, 2007 · An asymptote is a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero …
Asymptote of a curve in polar coordinates • Physics Forums
Apr 14, 2017 · The discussion centers on proving that the line y=1 is an asymptote to the curve defined by the polar equation rθ=1 for 0<θ<2π. The limit of y as θ approaches 0 is shown to be …
Why is y=a a horizontal asymptote on the polar coordinates?
Jun 8, 2010 · The discussion centers on understanding why the line y=a serves as a horizontal asymptote for the hyperbolic spiral defined by rt=a in polar coordinates. The user initially …
Horizontal asymptotes - approaches from above or below?
Feb 22, 2009 · The discussion revolves around understanding how to determine whether a curve approaches a horizontal asymptote from above or below. For the function y = (6x + 1)/ (1 - 2x), …
What is an asymptote and how do we find it in graphing ln(x)?
Nov 28, 2008 · An asymptote is a vertical or horizontal line (sometimes oblique, but at your level at the moment, I don't think they will be)drawn through the x or y value where the function …
Oblique Asymptotes: What happens to the Remainder?
Oct 24, 2011 · To find the oblique asymptote of the function f (x) = (-3x^2 + 2) / (x - 1), polynomial long division yields a quotient of -3x - 3 and a remainder of -1. The remainder is disregarded …
Why do functions have holes and asymptotes? - Physics Forums
Oct 5, 2012 · An asymptote occurs when a function approaches a specific value in such a way that as X -> +/- infinity the Y value approaches the specific value infinitely close, but never …
Describing behavior on each side of a vertical asymptote
Jan 2, 2006 · Find the vertical asymptotes of the graph of F (x) = (3 - x) / (x^2 - 16) ok if i factor the denominator.. i find the vertical asymptotes to be x = 4, x = -4. The 2nd part of the problem …
How to find oblique asymptotes for any function in general?
Jul 11, 2005 · To find the oblique asymptote, you must use polynomial long division, and then analyze the function as it approaches infinity. Taking the limit first, like HallsofIvy did, is wrong …