anonymous
  • anonymous
please help ! medal and fan! is the function continuous?
Calculus1
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1434089573949:dw|
ChillOut
  • ChillOut
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
ChillOut
  • ChillOut
\[\lim_{x \rightarrow 3^{-}}f(x)\]and \[\lim_{x \rightarrow 3^{+}}f(x)\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
my choices is a yes o no question. I think it is continuous. am I right?
Owlcoffee
  • Owlcoffee
By definition, continuity of a function is defined by: \[f:f(x)cont.(x=a) =>\lim_{x \rightarrow a}f(x)=f(a)\]
anonymous
  • anonymous
its continuous? am I right.
ChillOut
  • ChillOut
Yes. But you will have to learn it, eventually. You can only prove it's continuous by using limits.
ChillOut
  • ChillOut
\[\lim_{x \rightarrow 3^{-}}→f(x) \lim_{x \rightarrow 3} 5x+1 = 16\]and\[\lim_{x \rightarrow 3^{+}}→f(x) \lim_{x \rightarrow 3} x²+7 = 16\]
ChillOut
  • ChillOut
Wrong usage pf an arrow there. Don't mind it. it's meant to be between "f(x)" and "lim"

Looking for something else?

Not the answer you are looking for? Search for more explanations.