how do you find the limit?

[Semidevil]

now, this is not a calculus course...this is an analysis course, so I dont know if I'm suppose use the calculus techniques....

but anyways,

to show that if a limit exists, I need to show that for all e > 0, there exists K such that n >= k, then |x(n) - x| < e.

and usually, to verify that there is a limit, I would need to know what e is.

so how do I find e?

i.e, n / (n+1)

 

[ActuaryTm]

We are not your homework.

We are not Holmgren's uniqueness theorem.

We are the all-singing, all-dancing crap of the world.

 

[Mo0o]

I am mo0o's confused brain.

 

[Chaotic42]

Originally posted by: ActuaryTm
We are not your homework.

We are not Holmgren's uniqueness theorem.

We are the all-singing, all-dancing crap of the world.

Is that supposed to sound like "We are the world"?

 

[esun]

Ahhhhh, epsilon-delta (or I guess kappa in this case) proofs of limits! I hate those, and I don't remember them at all. Of course, that's the calculus side of it, so I don't know if the same type of thing even applies.

 

[Chaotic42]

This forum may be more helpful to you.

 

[Tweak155]

isnt there like an add in K+1 method or something to that effect? and you factor out til you get your solution? bleh, its late for me