I got another question that was lim as x->3 (3x-8)/(4x-12). I didn't see if it was possible to factor anything so I found that the limit doesn't exist because the left hand limit doesn't equal the right hand limit. for this question I just wanted to know if you could have found another answer algebraically.
I think I've made a mistake here...
If the function approaches from the left, then we have the denominator with negative values, so approaching , while if the function approaches from the right, then we have the denominator with positive values, so approaching .
Therefore the function does not exist.