Why can horizontal asymptotes be crossed? - Physics Forums
Aug 5, 2007 · Look at the definition of "horizontal asymptote"- a horizontal line that the function gets closer and closer to as x goes to plus or minus infinity. That says nothing about what …
What is an asymptote and why doesn't parabola have one?
Oct 1, 2007 · A function f (x) has an asymptote if it "looks like" a straight line when x tends to \pm\infty. More precisely, if the distance |f (x)-\text {the line}| tends to 0. A parabola doesn't …
Why is y=a a horizontal asymptote on the polar coordinates?
Jun 8, 2010 · An asymptote is an asymptote. It doesn't depend on how you represent it. You could write it equivalently as y=a or r sin θ=a. Ok so I plotted the polar curve. The difference …
Oblique Asymptotes: What happens to the Remainder?
Oct 24, 2011 · Let's say I'm trying to find the oblique asymptote of the function: f (x)= -3x 2 + 2 x-1 Forgive my poor formatting. So because the denominator isn't linear, we do polynomial long …
Asymptote of a curve in polar coordinates - Physics Forums
Apr 14, 2017 · The curve C has polar equation r θ = 1 for 0 <θ <2 π Use the fact that lim θ → 0 s i n θ θ = 1 to show the line y = 1 is an asymptote to C. The Attempt at a Solution **Attempt** I …
Horizontal asymptotes - approaches from above or below?
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 …
Vertical Asymptote: Is f Defined at x=1? - Physics Forums
May 22, 2011 · 5 if x = 0 Then the function is defined, but the asymptote still is at x=1, correct? This is very basic - I just want to make sure I understand it thoroughly. Thanks. The vertical …
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 …
Determining the horizontal asymptote - Physics Forums
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 …
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 …