Help with calculus question?

Question

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This is a question on a quiz I took a week ago. The same question is on my study guide T-T

I originally said: "When x approaches 1 the value does not exist. However, it exists when x approaches 2"

My professor said that the answer was incomplete? Why is that, and how can I complete my statement?

chilledz3non Sep 20, 2014

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Best Answer

You should probably think about the limit as x approaches a from above (i.e. the right) and from below (the left).

Alan Sep 21, 2014

Alan · Answer 1 · 2014-09-21T08:39:52

You should probably think about the limit as x approaches a from above (i.e. the right) and from below (the left).

Melody · Answer 2 · 2014-09-21T10:32:59

Alan, could you comment on my answer please?

The limit as x approaches 1 from above exists It is 1 I think

The limit as x approaches 1 from below exists It is p(x) I think

I don't think that the limit as x approaches 2 exists at all.

Is this right?

Alan · Answer 3 · 2014-09-21T01:45:52

Melody · Answer 4 · 2014-09-21T01:54:02

Now you are giving me homework? A l r i g H t .

Thanks Alan, I really should look at that! You are right

chilledz3non · Answer 5 · 2014-09-22T01:04:45

I'm still kind of lost with this question :/