# Math Help - Find the value of the Constant

1. ## 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

2. 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.

3. Originally Posted by Roxanne
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.