# Calc Summer Assignment

hotrocks007
Determine the value of c so that f(x) is continuous on the entire real line if

f(x)={ x^2, x<_3 (less than or equal to)
{ c/x, x>3

I've been trying by just guess and check, but I have absolutely NO idea!

Homework Helper
hotrocks007 said:
Determine the value of c so that f(x) is continuous on the entire real line if

f(x)={ x^2, x<_3 (less than or equal to)
{ c/x, x>3

I've been trying by just guess and check, but I have absolutely NO idea!
$$\lim_{x\rightarrow 3^-}f(x)=\lim_{x\rightarrow 3^+}f(x)=f(3)$$