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Math Help - need help plz sided limits

  1. #1
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    need help plz sided limits

    plz need help
    1>For function f(x) whose graph is given above state lim x->3+ f(x)
    2>For function f(x) whose graph is given above state lim x->3- f(x)
    3>For function f(x) whose graph is given above state lim x->3 f(x)
    4>For function f(x) whose graph is given above state lim x->-2 f(x)
    Attached Thumbnails Attached Thumbnails need help plz sided limits-3.jpg   need help plz sided limits-5.jpg  
    Last edited by gracy; December 7th 2006 at 07:22 AM.
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  2. #2
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    Quote Originally Posted by gracy View Post
    plz need help
    1>For function f(x) whose graph is given above state lim x->3+ f(x)
    -2
    2>For function f(x) whose graph is given above state lim x->3- f(x)
    2
    3>For function f(x) whose graph is given above state lim x->3 f(x)
    Does not exists. Left and right limits are not the same.
    4>For function f(x) whose graph is given above state lim x->-2 f(x)
    -1
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  3. #3
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    I can barely read your questions 9-12;

    9.) I'm assuming it is lim(f(x), x, -3+) = 0 (therefore, d).

    10.) lim(f(x), x, -3-) = 0 (therefore, d).

    11.) lim(f(x), x, -3) = 0, since left and right limits are equal to 0, too. Thus, d again.

    12.) lim(f(x), x, -2) = -1, (c), since the left and right limits are equal to -1, too. Note that f(-2), though, is -3.

    Note: Try see the bigger picture. In this case, limits help us determine whether a graph is continuous, and therefore differentiable. The function f(x) is discontinuous when either the limit of f(x) does not exist and x approaches some arbitrary x or the limit exists, though does not equal f(a), as with #12.
    Last edited by AfterShock; December 7th 2006 at 09:28 AM.
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