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Calc Summer Assignment

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!
 

Answers and Replies

lurflurf
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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!
Please help!
Choose c so that
[tex]\lim_{x\rightarrow 3^-}f(x)=\lim_{x\rightarrow 3^+}f(x)=f(3)[/tex]
 

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