Finding horizontal & vertical asymptote (s) using limits
Find all horizontal asymptote(s) of the function $\displaystyle f(x) = \frac{x^2-x}{x^2-6x+5}$ and justify the answer by computing all necessary limits. Also, find all vertical asymptotes and justify your answer by computing both (left/right) limits for each asymptote. MY ANSWER so far..
Concept of using limits to find horizontal asymptotes.
I have also came across someone saying that the coefficients do not matter and only the degrees matter. Is this true for all cases? In the past I was told to use the ratio of the coefficients of the largest degree and that would be the horizontal asymptote. Is this not the case when you are using limits to find the horizontal asymptotes?
limits - Find the horizontal asymptote (s) of the function ...
I need to find the horizontal asymptote(s) of the following function: ... {-2e^x + x^2}{3e^x + 5}$$ This ...
calculus - Finding asymptotes of a function using limits
Jan 24, 2021 · Find the Vertical Asymptote of a Function Using Limits 3 Can we find out vertical asymptotes by finding the limit of a function y=f(x)/g(x) when y approaches infinity?
Find the Vertical Asymptote of a Function Using Limits
Jan 13, 2016 · $\begingroup$ I did not so much as solve it another way, I just formalized the "intuitive" definition of the asymptote using a limit. $\endgroup$ – zz20s Commented Jan 13, 2016 at 4:45
limits - Finding a horizontal asymptote of a function with ln ...
I have this function \begin{align} \ f (x) &= (x-1)\cdot \ln\left(\frac{\ x-1}{x}\right) \\\\ \end{align} and I need to find it's asymptotes.
How to find the horizontal asymptotic of the logistic function
Mar 27, 2017 · The approach I am going for is to use limits such that x approaches negative/positive infinity but I am not sure how to use it to show that the horizontal asymptotes are the ones mentioned before. Assuming that the variables C, A and b are positive constants.
calculus - Horizontal Asymptote- Limits at Infinity - Mathematics …
Concept of using limits to find horizontal asymptotes. ... Finding horizontal & vertical asymptote(s ...
calculus - Find the horizontal and vertical asymptotes
Oct 9, 2015 · To find horizontal asymptotes of rational functions I would use limits, but although this function converges at $\frac{1}{2}$ at infinity and $\frac{-1}{2}$ at negative infinity (or so it appears to me), I'm not sure if that would be regarded as an asymptote since it's not a rational function or a function that has asymptotes.
limits - Can a Horizontal asymptote occur for all $\lim_{x\to \infty ...
Jan 10, 2019 · Horizontal asymptotes are found by $\lim_\limits{x \to \infty}f(x)$ and $\lim_\limits{x \to -\infty}f(x)$ given that they exist. As an example, you have a rational function $\frac{P(x)}{Q(x)}$ in which the two polynomials have the same degree: