limits

*To*: mathgroup at smc.vnet.net*Subject*: [mg5281] limits*From*: ryanjone at stinger.redshift.com (Ryan Jones)*Date*: Mon, 18 Nov 1996 02:30:33 -0500*Organization*: Redshift Online Service*Sender*: owner-wri-mathgroup at wolfram.com

I'm studying the definitions of limits: lim F(x)=L x->a I'm having trouble solving the proofs of the limits that have constants I can solve it with the constant, but for the constant.. for example: lim 2x^2=2 x->1 here's what I did: |2x^2-2|<î 0<|x-1|<ë 2|x^2-1|<î 2|x-1||x+1|<î 2(k)|x-1|<î |x-1|<î/2k 0<|x-1|<ë ë=î/2k this is as far as I can get... the books solves for 'k' and comes up with this ë=min(î/6,1) I don't see the connection.. help