Thread: 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...

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...

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