A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
decide if the given function is continuous at the specific value of x...
anonymous
 3 years ago
decide if the given function is continuous at the specific value of x...

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f(x)= \frac{ 2x4 }{ 3x2 } at x=2\]

helder_edwin
 3 years ago
Best ResponseYou've already chosen the best response.0remember the definition: f is continous at x=a if \[ \large \lim_{x\to a}f(x)=f(a) \]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes it is continuous..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it is defined at x=2 right

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(2)=0 \[\large \lim_{x\to 2}f(x)=0=f(2)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and also this is its graph http://www.wolframalpha.com/input/?i=plot+%282x4%29%2F%283x2%29 as you can see the func. is continuous at x=2, no hole no infinity

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok. so if they were ask to list all the value of x for which the given function is not continuous...how would that work? Example: \[f(x)= \frac{ 3x1 }{ 2x6 }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the func. is discontinuous when denominator is 0

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.02x6=0 x=3 so, for x=3 the func. is not continuous

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and what about the numerator?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it can be any number, no problem with it.. look at its graph http://www.wolframalpha.com/input/?i=plot+ \frac{+3x1+}{+2x6+}

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=plot+%283x1%29%2F%282x6+%29

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok, so there's only one value of x?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok. so how about in this case. f(x) = 3x2 if x<0 x^2+x if \[x \ge0\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the func. is not continuous at x=0 why because limit does not exists when we approach to 0, from left limit is 2, from right limit is 0 http://www.wolframalpha.com/input/?i=piecewise+ [{{3x2%2Cx%3C0}%2C{x^2%2Bx%2Cx%3E%3D0}}]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=piecewise [{{3x2%2Cx%3C0}%2C{x^2%2Bx%2Cx%3E%3D0}}]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.