Integrate
Junior Member
- Joined
- May 17, 2018
- Messages
- 129
∣x−2∣x−2
As x approaches 2 from the left the denominator becomes infinitely big while the numerator becomes infinitely small but negative meaning the left handed limit goes to negative infinity.
x→2−lim∣x−2∣x−2=−∞The opposite is true when x approaches 2 from the right. We get a positive numerator which gives positive infinity.
x→2+lim∣x−2∣x−2=∞
However the graph gives a much different answer.

What have I done wrong?
As x approaches 2 from the left the denominator becomes infinitely big while the numerator becomes infinitely small but negative meaning the left handed limit goes to negative infinity.
x→2−lim∣x−2∣x−2=−∞The opposite is true when x approaches 2 from the right. We get a positive numerator which gives positive infinity.
x→2+lim∣x−2∣x−2=∞
However the graph gives a much different answer.

What have I done wrong?