# Math Help - Continuity problems help?

1. ## Continuity problems help?

Hi friends

how i solve it!

find the value of ( a ) so that given function f(x) is continous.

when f(x) is x^2+a if -2 < x < 2

6at if x=2

x-2 if x>2

2. Originally Posted by mathbee
Hi friends

how i solve it!

find the value of ( a ) so that given function f(x) is continous.

when f(x) is x^2+a if -2 < x < 2

6at if x=2

x-2 if x>2

$f(x)=\left\{\begin{array}{rcl}x^2+a&~if~&-22\end{array}\right.$
1. Since $\lim_{x\to 2^+}f(x) = 0$ you can determine a because $\lim_{x\to2^-}f(x)$ must be zero too.
2. Now calculate t such that $f(2)= \lim_{x\to2^-}f(x) = \lim_{x\to 2^+}f(x)$