How do I find all of the asymptotes (vertical, horizontal, oblique) of the function (x^3 + 1) / (x^2 - 2x + 2) ? For the vertical asymptote I believe it's 1 + i but I'm not too sure about that. Can anyone help me out with that asymptote and whatever other asymptotes this formula might have? Thanks!
How did you come up with the answer of 1+i? Are you aware that it is a complex root of denominator?
You can find the oblique asymptote by using synthetic division and disregarding the remainder since the denominator is one degree less than the numerator.