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Math Help - Infinite limits

  1. #1
    Junior Member
    Joined
    Jan 2009
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    Infinite limits

    Hey, I don't get how as x approaches 1 x-2/(x-1)^2 = negative infinite

    Help is very appreciated, Thanks
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  2. #2
    Member
    Joined
    Jan 2009
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    When you get arbitrarily close to 1:

    - the bottom becomes closer and closer to zero. Since it's being squared, it will be positive whether you approach from the left or right.

    - the top will get closer and closer to negative one from either side.

    So what you have, as you approach 1, is a negative value that is growing (because the denominator is shrinking).
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