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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Originally Posted by mmfoxall 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 $\displaystyle \displaystyle \frac{c(2)}{2} = \frac{4(c^2 + 2)}{6(2)}$. Simplify and solve for c.
In other words, you want the two parts to "match up" at x= 2.
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