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Topic: limits
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Ryan Jones

Posts: 2
Registered: 12/11/04
limits
Posted: Nov 17, 1996 4:42 PM
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I'm studying the definitions of limits:
lim F(x)=L
x->a |F(x)-L|<î 0<|x-a|<ë
I'm having trouble solving proofs for constant values...
for example:
lim 2x^2=2
x->1
here' what I did:
|2x^2-2|<î 0<|x-1|<ë
2|x^2-1|<î
2|x-1||x+1|<î
|x+1|<k
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 book solves for 'k' and comes up with this
ë=min(î/6,1)
how do you find 'k'???





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