The whole point of oblique (or horizontal) asymptotes is "what happens as x goes to infinity or negative infinity?"
With something like [tex]y= \frac{2x^2+5x+11}{x+1}[/tex] the simplest thing to do is to divide both numerator and denominator by the largest power of x in the denominator- here just x. [tex]y= \frac{2x+ 5+ \frac{11}{x}}{1+ \frac{1}{x}}[/tex]. Since those fractions with x in the denominator will go to 0 as x goes to either positive or negative infinity, it's easy to see that y approaches 2x+ 5.
You're both wrong, dale 123 is correct. To find the oblique asymptote, you must use polynomial long division, and then analyze the function as it approaches infinity.Hi, dale 123....you can check your answer by graphing it. Use a program if you're having trouble with the graph. Once it's graphed you'll see that your answer is not right. The correct answer is still 2x+5.