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Thread: What is the relationship between a and b so that f(x) is a continous function?

  1. February 24th 2011, 02:07 PM #1
    k101
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    What is the relationship between a and b so that f(x) is a continous function?

    Given f(x) = 3x - a x (less than and equal to) -2
    (x^2) - b x (greater than) -2
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  2. February 24th 2011, 02:31 PM #2
    Plato
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    Quote Originally Posted by k101 View Post
    Given f(x) = 3x - a x (less than and equal to) -2
    (x^2) - b x (greater than) -2
    As things stand find these two limits \displaystyle \lim _{x \to - 2^ - } f(x)\;\& \,\lim _{x \to - 2^ + } f(x).
    Make them equal.
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« find the limit | Prove the partial derivative statements »

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