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anonymous
 one year ago
please help ! medal and fan!
is the function continuous?
anonymous
 one year ago
please help ! medal and fan! is the function continuous?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434089573949:dw

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1we need to evaluate the function at x=3. Since they are both polynomials, they should be continuous for x<3 and x>3. What we have to do now is to find both sides limits

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 3^{}}f(x)\]and \[\lim_{x \rightarrow 3^{+}}f(x)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my choices is a yes o no question. I think it is continuous. am I right?

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.0By definition, continuity of a function is defined by: \[f:f(x)cont.(x=a) =>\lim_{x \rightarrow a}f(x)=f(a)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its continuous? am I right.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Yes. But you will have to learn it, eventually. You can only prove it's continuous by using limits.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 3^{}}→f(x) \lim_{x \rightarrow 3} 5x+1 = 16\]and\[\lim_{x \rightarrow 3^{+}}→f(x) \lim_{x \rightarrow 3} x²+7 = 16\]

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Wrong usage pf an arrow there. Don't mind it. it's meant to be between "f(x)" and "lim"
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