Sounds like maybe this forum isn't for me then, maybe when I'm better educated. Nothing was taken for granted, thanks to those who did help, I will study your advice and hopefully get it.
Why is this 4? Is it not 2 or am i seeing this wrong?
less than 1?
I'm struggling with the, almost, canceling down from factoring to
|x-2||x+2|< \epsilon/2
from this step I get really lost, as far as I'm aware the |x-2| is controlled by delta so i have to work with |x+2|
by this i use the...
That's the part I don't truly understand to be honest. The guide I read suggested as your trying to stay witching a small range 1 either side of the value (2) |x+2| is this wrong or have I (the more likely) misunderstood
Thanks but I don't quite get your hint
Not sure if this is right but thought I'd post my progress along with helpful sites in case somebody else has the same problem
http://math.stackexchange.com/questions/950493/stuck-on-an-epsilon-delta-proof-where-i-let-delta-be-a-minimum-of-two-values...
Sorry, I am really struggling with the precise definition of the limit. I have a specific question I'm trying to work out
lim(x->2) (4x2+2)=18
skipping the introduction part
any advice? I am just not sure how to get rid of the 2 value to re-arrange |(4x2+2)-18| to look like |x-2|
|x-2|<delta...
I'm trying to practise, precise definition of a limit (epsilon & delta)
Just to check I'm along the right lines here's a previous question to the one I'm stuck on
If epsilon > 0 then there is delta >0 ... All that introduction stuff, then
Lim x-> 2 (3x-1) =5
Hence
|x-2| < delta then |3x - 6|...
Hopefully this will be okay to follow apologies if not, not sure how to write equations on here yet.
>>
[sqrt(2+2h) - sqrt(2)]/h . [sqrt(2+2h)+sqrt(2)]/sqrt(2+2h)+sqrt(2)
>>
2+2h+[sqrt(2)sqrt(2+2h)]-[sqrt(2)sqrt(2+2h)]-2
h.sqrt(2+2h)+sqrt(2)
>>
cancels to
2h
h.[sqrt(2+2h)+sqrt(2)]
>>
giving, as...
I am really struggling with limits at the moment. Any help would be great! Thanks to anyone in advance if they take the time to read the rest of this.
Basically i am struggling with finding the limit when using direct substitution provides 0/0
I (think) am fine with limits that involve quadratic...
That's a much easier way to grasp the concept, thanks! Will get reading!
Sorry, I don't suppose you have any advice/similar PDF on the definition of a limit? I feel I'm getting there (although part of me feels it could all be wrong and I'm miles away)
Thanks! Just clicked into place now, remember him explaining this now. There is some frustrating gaps in my knowledge due to a non traditional route to higher education.
Thanks again!
Apologies if this is in the wrong place. I'm struggling to understand a step in finding a limit
Lim(x->0) x.sqrt(x+2) / sin(x)
Following the given solution I get to the point where it's all divided through by x to give
Sqrt(x+2) / sin x/x
Which as approaching 0 gives
Sqrt(2) / 1 = sqrt(2)...