Thread: Just want to verify my proof of a limit

Proof: given any choose

Ignore the *******< br/ > *******

then if


Therefore
I want to make sure if I'm right thanks guys! This is just the proof no scratch work

Yes, that's a perfectly good proof. The basic idea, of course, is that, for x not equal to 2, so this problem is really "linear" and you can do it that way.

Originally Posted by mathisfun26

Proof: given any choose then if

Actually I would do this differently form reply #2.

Note that .

So you are correct we can use

Plato's reply points out a certain flaw in the original proof:

what if |x - 2| = 0?

your proof should start with:

if ....

this allows you to multiply and divide by (x - 2) without fear of it being undefined.