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# Calculus Limit Question

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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
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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

CPhill  Feb 5, 2018