Asked by Ke$ha
I have no clue how to do this problem:
lim---->2 then thees this little dash slightly above the 2 and then its |x-2|/(x-2)
lim---->2 then thees this little dash slightly above the 2 and then its |x-2|/(x-2)
Answers
Answered by
Steve
so you want the left limit (as x->2 from below)
Now, recall the definition of |u|
|u| = u if u >= 0
|u| = -u if u < 0
When x < 2, x-2 < 0, so |x-2| = 2-x
So, the limit is (2-x)/(x-2) -> -1
You can see this on the graph at
http://www.wolframalpha.com/input/?i=%7Cx-2%7C%2F(x-2)
Now, recall the definition of |u|
|u| = u if u >= 0
|u| = -u if u < 0
When x < 2, x-2 < 0, so |x-2| = 2-x
So, the limit is (2-x)/(x-2) -> -1
You can see this on the graph at
http://www.wolframalpha.com/input/?i=%7Cx-2%7C%2F(x-2)
Answered by
Ke$ha
THANK YOU!!!!!!!!!!!
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