Asymptotes
- Thread starter hdancarey
- Start date
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The 2x+3 is called an oblique asymptote. When we long divide \(\displaystyle \frac{2x^{2}+x-1}{x-1}\), we get
\(\displaystyle \frac{2}{x-1}+\underbrace{2x+3}_{\text{oblique asymptote}}\)
As we can see, the oblique asymptote is a line the function approaches as \(\displaystyle x\to \pm{\infty}\)
See the graph I included.
\(\displaystyle \frac{2}{x-1}+\underbrace{2x+3}_{\text{oblique asymptote}}\)
As we can see, the oblique asymptote is a line the function approaches as \(\displaystyle x\to \pm{\infty}\)
See the graph I included.
