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Thread: limits

  1. October 4th 2008, 10:46 AM #1
    johntuan
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    limits

    Find the limit, if it exist. If the limit does not exist, explain why.

    1. lim x->-2 [(2- l x l) /(2+x)

    l x l = the absolute value of x.
    Last edited by johntuan; October 4th 2008 at 11:02 AM.
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  2. October 4th 2008, 10:49 AM #2
    Chop Suey
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    \lim_{x \to 2} \frac{2 - |x|}{2+x}

    The absolute value here is redundant, since x is not approaching a negative value. Simply plug and chug.
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  3. October 4th 2008, 11:02 AM #3
    johntuan
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    whoops sorry forgot to put -2, its approaching -2.
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  4. October 4th 2008, 11:07 AM #4
    icemanfan
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    When x is negative, \frac{2 - |x|}{2 + x} = \frac{2 + x}{2 + x}. Does that help?
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