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. …

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 …

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 …

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 …

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 …

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 …

Feb 22, 2009 · I seem to be having a lot of difficulty finding whether for a horizontal asymptote, whether the curve approaches the asymptote from above or below. For example, for the …

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 …

Apr 7, 2006 · First of all, do polynomials have asymptotes, including oblique ones? I know that rational functions have asymptotes, and it seems that most, if not all, of my book's exercises …

Apr 9, 2024 · Consider, I am self-studying; My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have Therefore is the …