- #1

mharten1

- 62

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## Homework Statement

Find the vertical asymptote, if there is one, of this rational function.

[tex]\frac{\sqrt{16x^2 + 3x + 6} -5}{x-1}[/tex]

## Homework Equations

## The Attempt at a Solution

This was actually a Calculus problem, I had to find the limit at infinity. I was able to do that easily; an extra question asked what the vertical asymptote was. I see an obvious V.A. at [tex]x = 1[/tex] but the answer was that there isn't one. What am I doing wrong? I feel as I'm just overlooking the obvious. Canceling out doesn't change the fact that a vertical asymptote exists, correct? Plus I don't really see a way to simplify the function, other than multiplying by the conjugate, but that wasn't the point of the problem. I think there's a more obvious way of getting the answer.

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