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Whats the difference between \(\lim_{x\rightarrow 1}\)\(\lim_{x\rightarrow 1-}\), and \(\lim_{x\rightarrow 1+}\)?
In my homework, I'm working based off given graphs, but I can't figure out what direction they're all coming from
Thanks!

CurlyFry  Feb 4, 2018
 #1
avatar+87691 
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The first one is known as a two-sided limit.....we are trying to find the limit as x approaches 1 from both sides

 

The next two are-one sided limits.....for the second, we are trying to find the limit as x approaches 1 from the left side

 

Finally....the last one means that we want to find the limit as x approaches 1 from the right side

 

 

cool cool cool

CPhill  Feb 5, 2018

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