For the function f(x)=∣x−5∣x−5f(x) = \frac{|x-5|}{x-5}f(x)=x−5∣x−5∣, which of the following is true?
The limit at x=5x=5x=5 exists.
The limit at x=5x=5x=5 is 111.
The function has a jump discontinuity at x=5x=5x=5.
The function is continuous at x=5x=5x=5.