In a test example I'm solving, the question asks to find the oblique asymptote of the following function ...

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I know that this function has an oblique asymptote, but all the tutorials I can find on google, are with ...

2020年1月28日 · I'm teaching a differential calculus course and incorrectly taught my students that to find oblique asymptotes you multiply and divide the fraction by the reciprocal of the largest power of x in the denominator, and what is left after taking the …

2015年11月18日 · With horizontal and slant asymptotes, the function itself can cross these equations, but as its domain approached $-\infty$ and $\infty$, its graph approaches the equation of the asymptote. The fact that there is an intersection point simply means your particular equation crosses its asymptote, usually indicating a higher degree equation.

Do all rational functions that have vertical asymptotes also have an oblique asymptote? Or is an oblique asymptote only formed when the degree of the numerator is 1 higher than the degree of the denominator, and so only functions with a vertical asymptote with a degree of 1 can also have an oblique asymptote?

2015年2月15日 · These limits evaluate to $5/2$ and $2/3$ for each asymptote as coefficients for positive and negative exponents. Better to make parametric plot of the curve and an ordinary plot of the slope. Share

However, when I graph it in Desmos, I get what looks like an oblique asymptote, that corresponds to an absolute value function. The more I zoom out though, the more the slope seems to decrease. This shows (or at least lends credence) to the fact that there are two POIs, right? In addition, is it true that there is no asymptote? This is my solution.

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