Question

what is the limit of (|x-1|)/(x-1) as x approaches 1?

Answer 1

Hint: It may help to graph this

if you can't graph, then find the left hand limit and the right hand limit

Answer 2

does finding the left and right hand limits means plugging in numbers that are less than or more than 1?

Answer 3

yes exactly, make a table of values to help you out if necessary

Answer 4

I'll do the left hand limit to give you an idea what I mean

Answer 5

x y
---------------------
0 | -1
0.05 | -1
0.1 | -1
0.15 | -1
0.2 | -1
0.25 | -1
0.3 | -1
0.35 | -1
0.4 | -1
0.45 | -1
0.5 | -1
0.55 | -1
0.6 | -1
0.65 | -1
0.7 | -1
0.75 | -1
0.8 | -1
0.85 | -1
0.9 | -1
0.95 | -1
1 | UND

Answer 6

Basically, start at x = 0, then slowly approach x = 1 by increasing x. You'll see that as you get closer and closer, y will approach -1

Answer 7

Of course, this would be more interesting if y changed in value, but oh well