How do you find the vertical, horizontal and inclined asymptotes of a
square root function?
The following question asks me to find all horizontal, vertical and
inclined asymptotes for the following function:
$f(x)=\sqrt{x^2+5x+1}$
I've learnt that to find vertical asymptotes, you let the denominator
equal to zero. For horizontal asymptotes, you divide the x's top and
bottom with the highest degree. To find inclined or slanted asymptotes if
$\displaystyle\lim_{x\to\infty}[f(x)-(mx+c)]=0$ or
$\displaystyle\lim_{x\to-\infty}[f(x)-(mx+c)]=0$.
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