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**+2 **

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