## #math - Tue 3 Apr 2007 between 00:01 and 00:07

### NY Lost Funds

 HiLander in particular, equality would imply E_{m-1} = E_{n-1}which is false by induction Tens Hey. noway- Does that really need induction then? Can't we just state what we have just said? Tens "Use the formal Definition of a limit to prove that: Lim(x->2)(3x-4) = 2 You must find a suitable delta. pyenos E_{m-1} != E_{n-1} since a set can't be an element of itself, as HiLander said Steve|Office Tens: So you need a delta in terms of epsilon. r00723r0 % Solve[x ** 3 == 3 ** x, x] mbot r00723r0:Solve::tdep: The equations appear to involve the variables to be solved for in an essentially non-algebraic way.Solve[x**3 == 3**x, x] r00723r0 % Solve[x^3 == 3^x, x] mbot r00723r0:InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses.InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses. Tens That circle w/ the squiggle on it is delta right? mbot [6 @more lines] Steve|Office Er, it's the one that looks like a d. r00723r0 % Solve[x^2 == 2^x, x] mbot r00723r0:InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses.InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses.Solve::ifun: Inverse functions are being used by Solve, so some solutions may not be found; use Reduce for complete solution information.{{x -> 2}, {x -> (-2*ProductLog[Log[2]/2])/Log[2]}, {x -> (-2*ProductLog[-1, -Log[2]/2])/Log[2]}} Tens Yeah it's delta. noway- Tens: http://www.mathbin.net/9679 Steve|Office r00723r0: Feel like /msging mbot with that? r00723r0 Steve|Office, sorry noway- thats little delta r00723r0 didn't think it'd spam like that Tens So Steve, I don't understand what I'm supposed to do. Steve|Office Tens: What is the definition of a limit?in terms of epsilon and delta, that is.You know what, never mind. landen is helping you on efnet. Don't ask your question on multiple networks at the same time. Tens gah.Sorry Steve.