# Thread: This equation doesn't have a limit, does it?

1. ## This equation doesn't have a limit, does it?

I don't know how to format, sorry...

"Find the limit, if it exists"

Limit (as x approaches 2): (x^2 - x +6)/(x-2)

I used the quadratic formula to try to find values for the numerator, but one ends up with 1 plus or minus the square root of -23 divided by two. Obviously, negative numbers don't have real square roots, so is it safe to say there is no limit to this equation? Thanks...

2. Originally Posted by satx
I don't know how to format, sorry...

"Find the limit, if it exists"

Limit (as x approaches 2): (x^2 - x +6)/(x-2)

I used the quadratic formula to try to find values for the numerator, but one ends up with 1 plus or minus the square root of -23 divided by two. Obviously, negative numbers don't have real square roots, so is it safe to say there is no limit to this equation? Thanks...
$\lim_{x \to 2} \frac{x^2-x+6}{x-2}$

the limit does not exist since the numerator approaches 8 and the denominator approaches 0