For the function f(x)=∣x−1∣x−1f(x)=\frac{|x-1|}{x-1}f(x)=x−1∣x−1∣, describe the behavior at x=1x=1x=1.
Jump discontinuity: left limit =−1= -1=−1, right limit =1= 1=1
Removable discontinuity: limit is 000
Infinite discontinuity: limit is ±∞\pm\infty±∞
Continuous at x=1x=1x=1