Question

I dont understand what the precise definition of limit means..

Answer 1

(referring to the 3 equations)

Answer 2

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

Answer 3

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

Answer 4

I dont really understand what each variable represents exactly..

Answer 5

well \[a_n\] is a sequnce

Answer 6

sequence

Answer 7

\[\epsilon\] is a positive number

Answer 8

L is a number

Answer 9

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 :(

Answer 10

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

Answer 11

sorry n>N

Answer 12

in the definition it says n>N though

Answer 13

finger slipped

Answer 14

Does E represent both n and N?

Answer 15

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

Answer 16

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

Answer 17

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