Student123
New member
- Joined
- Apr 12, 2020
- Messages
- 11
Identify if the limit exists for the limit of (x^2 - x - 2)/|x - 2| as x approaches 2.
So x =/= 2, and I tried separating the positive and negative of the absolute function f(x) = (x^2 - x - 2)/(x-2), x > 2 and (x^2 - x - 2)/-(x-2), x < 2. Then it becomes x+1, x > 2 and -(x+1), x < 2. Since the right-hand limit doesn't equal the left-side limit, I thought that the limit wouldn't exist. How come it does?
So x =/= 2, and I tried separating the positive and negative of the absolute function f(x) = (x^2 - x - 2)/(x-2), x > 2 and (x^2 - x - 2)/-(x-2), x < 2. Then it becomes x+1, x > 2 and -(x+1), x < 2. Since the right-hand limit doesn't equal the left-side limit, I thought that the limit wouldn't exist. How come it does?
