I'm missing something here. I can find out what to use for delta, but how do I proceed to prove a limit statement to be correct? For example:
let e = epsilon and d = delta
Lim (x/5) as x -->3 = 3/5
=|(x/5) - 3/5|
=|(x-3)/5| Combine terms
=.2|x-3| Factor out 1/5
=.2|x-3| < e
=|x-3| < 5e Divide both sides by .2
So I know I am supposed to use 5e, right?
Aren't I supposed to somehow prove that:
if 0 < |x-3| < e then |(x/5)-3/5| < e
I'm not really sure how to go about this. Can someone shed some light on the procedure?