Discontinuity With an Absolute Value Function

Mark

Let $f$ be the function given by $f(x) = \frac{x^2 - 1}{(x - 1)|x - 1|}$ . Which of the following statements is true?

f has a removable discontinuity at $x = 1$ .

f has a jump discontinuity at $x = 1$ .

f has a discontinuity due to a vertical asymptote at $x = 1$ .

$\lim_{x \to 1} f(x) = 2$

Hint

Did You Know?

Explain Why

Explain All Answers

Check Answer

Show Correct Answer

Report Question

Question Leaderboard

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	jonathanchoi1976	1	1	0m 58s	42
#2	defneozay06	1	1	1m 48s	-8
#3	lesleiman	0	1	1m 04s	-74
#4	eugenechunggege	0	1	1m 09s	-79
#5	agkhamofu	1	2	3m 35s	-125
#6	aditya3mohan	1	1	29m 22s	-1,662
#7	dkenjaeva878	1	1	1h 07m	-3,936

Items per page:

1 – 7 of 7

AI Tutor 2:21 AM

How can I help?