Let and .
From what you have already done this means that .
Thus
I am having a real tough time with these proofs.
f(x)=2-(1/x)
find delta such that 0<|x-1|<d then |f(x)-1|<0.1
I understand what it means, but I'm having a hard time proving it.
I start out by working the epsilon inequality...
I end up with something like this...
|1/x||x-1|<0.1
Now I'm stuck. But from what I've been reading you would set
|x-1|<1
This is obviously not a good option given 1/x. So I chose 1/2.
I eventually get...
1/2<x<3/2
Now I don't understand the next step. This should be so easy.