Question

I have no clue how to do this problem:
lim---->2 then thees this little dash slightly above the 2 and then its |x-2|/(x-2)

Answer 1

so you want the left limit (as x->2 from below)

Now, recall the definition of |u|

|u| = u if u >= 0
|u| = -u if u < 0

When x < 2, x-2 < 0, so |x-2| = 2-x

So, the limit is (2-x)/(x-2) -> -1

You can see this on the graph at

http://www.wolframalpha.com/input/?i=%7Cx-2%7C%2F(x-2)

Answer 2

THANK YOU!!!!!!!!!!!