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Math Help - Find the value of the Constant

  1. #1
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    Find the value of the Constant

    find the value of the value of the constant c such that the given function is continuous for all x



    f(x) ={c^2-x^2, if x<0
    ........{2(x-c)^2, it x>=0
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  2. #2
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    Roxanne, you seem to be posting just a list of questions.
    Do you just expect that someone here will hand you a complete solution.
    How about showing effort on you part? You are the learner in this process.
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  3. #3
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    Quote Originally Posted by Roxanne View Post
    find the value of the value of the constant c such that the given function is continuous for all x



    f(x) ={c^2-x^2, if x<0
    ........{2(x-c)^2, it x>=0
    A function f(x) is continuous at x=a, if,

    Left hand limit = right hand limit = f(a)

    \Rightarrow \mathop {\lim }\limits_{x \to a - } f\left( x \right) = \mathop {\lim }\limits_{x \to a + } f\left( x \right) = f\left( a \right) \hfill \\

    Now, try to solve by yourself.
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