1. ## 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.

2. 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 $\displaystyle \frac{c(2)}{2} = \frac{4(c^2 + 2)}{6(2)}$. Simplify and solve for c.

3. In other words, you want the two parts to "match up" at x= 2.