# Calc Summer Assignment

1. Aug 17, 2005

### 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!
Please help!

2. Aug 17, 2005

### lurflurf

Choose c so that
$$\lim_{x\rightarrow 3^-}f(x)=\lim_{x\rightarrow 3^+}f(x)=f(3)$$

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