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Math Help - Can someone check this simple limit problem for me please?

  1. #1
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    Can someone check this simple limit problem for me please?

    Not a math person, but have to take this class. I just want someone to look this over and tell me if this is right or not because I am not sure and don't have an answer key.

    Here is the problem.

    Let f(X) = X-2/X^2-2x

    Find lim x->0
    f(x)

    Here is what I do,

    X-2/X^2-2x

    x-2/x(x-2)

    Get rid of X-2

    X = 0

    Is this the right way? If someone has a minute to look this over, it would be really helpful. Once again, I'm not a math major but have to take some basic concepts of calculus...so it's hard...
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  2. #2
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    Yes,

    when lim x->0 f(x) = 1/x , then f(x) = infinity
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  3. #3
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    Thanks for looking it over.
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  4. #4
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    Quote Originally Posted by dimeola View Post
    Yes,

    when lim x->0 f(x) = 1/x , then f(x) = infinity
    Not quite right.

    If x --> 0 from the left then f(x) --> - oo.

    If x --> 0 from the right, then f(x) --> +oo.
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