It will help you a lot to recognize that . As long as x is NOT 2, that fraction simplifies.
Now, what do you have for (1) and (4)?
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??