Why can horizontal asymptotes be crossed? - Physics Forums
Aug 5, 2007 · As far as rational functions go, the function can only switch directions a limited number of times. (This is based on the number of places the derivative is zero, and the …
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 …
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 …
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 …
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 …
New guy asking about Asymptotes of f (x)= x (lnx)
Oct 30, 2011 · I'm hoping someone could show how to algebraically find the vertical and horizontal asymptotes of f (x) = x (lnx).