Thread: Epsilon-Delta Limit Definition

Use epsilon-delta proof to show that

So far, I have:

Let

We know that:



and



Choosing :





From here, I'm having trouble remembering what to do.

Arbitrarily assume which implies .

But this implies:


So we know:

Now we can see what we should let be.

I forgot that it was reasonable to insist that x would be within 1 of 4, thanks for the help.

Notice that you must say that is the smaller of and 1.