## anonymous 5 years ago I dont understand what the precise definition of limit means..

1. anonymous

(referring to the 3 equations)

2. anonymous

3. anonymous

uhhhh yea... i dont think i could help ya unfortunatley that confuses me too :P

4. anonymous

what about it is confusing? are you just wanting the rough idea?

5. anonymous

I dont really understand what each variable represents exactly..

6. anonymous

well $a_n$ is a sequnce

7. anonymous

sequence

8. anonymous

$\epsilon$ is a positive number

9. anonymous

L is a number

10. anonymous

for lAn-Ll<E whenever n>N do they mean that when we plug in n to An and subtract the limit it will be less than a positive value..?.. it doenst make sense to me :(

11. anonymous

well, what it means is at a certain number N>n the terms of the sequence approach the number L

12. anonymous

sorry n>N

13. anonymous

in the definition it says n>N though

14. anonymous

finger slipped

15. anonymous

Does E represent both n and N?

16. anonymous

no, n and N refer to the indexing of the terms of the sequence

17. anonymous

these type of things are understood through doing problems; as you advance in calculus it would come to you

18. anonymous

agreed, the idea is fairly simple and can be demonstrated intuitively with a simple drawing