# Math Help - Limits

1. ## Limits

f(x)=x-2
(x^2)-3x+2

or (x-2)/((x^2)-3x+2)

1. Find the domain and range of f

2. Find the lim x-->1 f(x)

3. Find the lim x-->2 f(x)

4. Apply the definition of continuity to identify any points of discontinuity

Show all work or explain why the lim does not exist.

I think the limit x-->1 f(x) is infinite and lim-->2 f(x) is 1, but not 100% sure since i feel i'm doing this wrong. Help??

2. ## Re: Limits

It will help you a lot to recognize that $x^2- 3x+ 2= (x- 2)(x- 1)$. As long as x is NOT 2, that fraction simplifies.

Now, what do you have for (1) and (4)?

3. ## Re: Limits

-----------------o--o-------- Domain
-5 -4 -3 -2 -1 0 1 2 3 4 5

--------------o--o----------
-5 -4 -3 -2 -1 0 1 2 3 4 5 Range This is what i know Domain and Range as

4. ## Re: Limits

I know nothing yet about (4)