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How do I determine an oblique asymptote?
I'm guessing synthetic division, but the function is x+(32/x^2) and I'm confused.
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- Anonymous5 years agoFavorite Answer
the oblique asymptote is y = x because the term 32/x^2 approaches 0 as x approaches +/- inf.
- Sakai SaburoLv 65 years ago
the f(x) and the straight line y=ax+b
if:lim[f(x) - (ax+b)] = 0 (x------>inf)
-->y=ax+b is an oblique asymtote of f(x)
+lim[x+32/(x^2) - x]=lim(32/(x^2)=0 (x--->inf)
--->y=x is an oblique asymtote
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