## anonymous one year ago Use the given graph to determine the limit, if it exists. @ganeshie8 @dan815 @michele_Laino @satellite73 @wio @compassionate @usukidoll

1. anonymous

2. anonymous

find

3. Astrophysics

approaching 3 from the left side, what do you get

4. anonymous

i dont know @Astrophysics

5. UsukiDoll

the answers for the limits are always in the y axis so we need to determine 3^{-}, 3^{+} and 3. If all limit values are the same we have a limit. If not, well no limit exist.

6. Astrophysics

|dw:1436513729259:dw|

7. anonymous

guys i dont get it so what would be the answer? @UsukiDoll @Astrophysics

8. UsukiDoll

we are not allowed to give direct answers. x.x!

9. UsukiDoll

for every direct answer given an ASCII toucan must be given away :(

10. anonymous

well obviously not im not asking for a direct answer im asking for step by step @UsukiDoll

11. ganeshie8

As you walk on the given graph towards $$x=3$$ from the left, what $$y$$ value do you end up at ? |dw:1436513923956:dw|

12. anonymous

-1? @ganeshie8

13. ganeshie8

So we say the limit from the left of 3 is -1

14. anonymous

thats it? @ganeshie8

15. Astrophysics

I was writing an example to, but I think you understand it now jessica?

16. UsukiDoll

because as we are moving 3 on the left, we've noticed that the y-axis goes to -1.

17. Astrophysics

Just to make sure what is $\lim_{x \rightarrow 3^+} f(x)$

18. UsukiDoll

that's 3 on the right ^

19. UsukiDoll

|dw:1436514104965:dw|

20. ganeshie8

Yes thats it. Mathematically we write walking toward 3 from left as $$\large \lim\limits_{x\to 3^{\color{red}{-}}}$$ ,

21. Astrophysics

Also if they equal, then we say the limit exists

22. UsukiDoll

^ yeah but the question is just asking for one part of 3 which was to the left.

23. Astrophysics

I know I just was testing if she understood by giving right as well lol

24. Astrophysics

ganeshie was trying to show off that he could draw better than me as well

25. ganeshie8

lol that is because my fingers don't shake when i draw

26. Astrophysics

Always with the insults! One day I'll have to power to suspend you!

27. Astrophysics

Hahaha

28. Astrophysics

the*

29. ganeshie8

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