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Math Help - Continuity

  1. #1
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    Continuity

    f(x) = cx/2 if x<2 and 4(c^2+2)/6x if x>=2

    continuous at x=2.

    find the values for c.

    I'm not sure how to go about calculating this.. Any help would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by mmfoxall View Post
    f(x) = cx/2 if x<2 and 4(c^2+2)/6x if x>=2

    continuous at x=2.

    find the values for c.

    I'm not sure how to go about calculating this.. Any help would be greatly appreciated.
    You require \displaystyle \frac{c(2)}{2} = \frac{4(c^2 + 2)}{6(2)}. Simplify and solve for c.
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  3. #3
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    In other words, you want the two parts to "match up" at x= 2.
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