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anonymous

  • one year ago

please help ! medal and fan! is the function continuous?

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  1. anonymous
    • one year ago
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    |dw:1434089573949:dw|

  2. ChillOut
    • one year ago
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    we 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

  3. ChillOut
    • one year ago
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    \[\lim_{x \rightarrow 3^{-}}f(x)\]and \[\lim_{x \rightarrow 3^{+}}f(x)\]

  4. anonymous
    • one year ago
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    my choices is a yes o no question. I think it is continuous. am I right?

  5. Owlcoffee
    • one year ago
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    By definition, continuity of a function is defined by: \[f:f(x)cont.(x=a) =>\lim_{x \rightarrow a}f(x)=f(a)\]

  6. anonymous
    • one year ago
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    its continuous? am I right.

  7. ChillOut
    • one year ago
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    Yes. But you will have to learn it, eventually. You can only prove it's continuous by using limits.

  8. ChillOut
    • one year ago
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    \[\lim_{x \rightarrow 3^{-}}→f(x) \lim_{x \rightarrow 3} 5x+1 = 16\]and\[\lim_{x \rightarrow 3^{+}}→f(x) \lim_{x \rightarrow 3} x²+7 = 16\]

  9. ChillOut
    • one year ago
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    Wrong usage pf an arrow there. Don't mind it. it's meant to be between "f(x)" and "lim"

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