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

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- Jan 10th 2013, 03:49 PMmathisfun26Just 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 - Jan 10th 2013, 04:02 PMHallsofIvyRe: Just want to verify my proof of a limit
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.

- Jan 10th 2013, 05:13 PMPlatoRe: Just want to verify my proof of a limit
- Jan 10th 2013, 07:08 PMDevenoRe: Just want to verify my proof of a limit
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.