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Math Help - Limits

  1. #1
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    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??
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  2. #2
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    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)?
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  3. #3
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    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
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  4. #4
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    Re: Limits

    I know nothing yet about (4)
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