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Calculus/abslute value correction

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Question
In my previous question I said the book said 7 I was wrong I was looking under the wrong section the answer is -1, so if you are coming from the left does that mean that you can only get to -1 before approaching 0 what about -.099999 and so on.  does it go under the least possible integer rule?

Answer
Well, I only answer questions one at a time and I already answered the previous one.

Yes, -1 is the closest integer, but you can get as close to 0 as you want without getting there, and the answer is still -1.

0.5/-0.5 = -1, 0.0001/-0.0001=1, 10^-50/-10^-50 = 1, and so on.

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