A community for students.
Here's the question you clicked on:
 0 viewing
lucy4104
 2 years ago
is lim as x approaches c the same as f(c)?
lucy4104
 2 years ago
is lim as x approaches c the same as f(c)?

This Question is Closed

ghazi
 2 years ago
Best ResponseYou've already chosen the best response.1where is the function f(c)

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0c=3, f(x)= (x^2+5)/(x6) continuous or no?... is the question.

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3at c=3, yes... the function is defined at x=3 so the limit of f is f(3)

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0what if x=c is not defined?

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3if f(x) is not defined at x=c, then the limit can still exist but not necessarily at f(c). also, if there is a vertical asymptote at x=c, then the limit does not exist.

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0the limit can still exist but not necessarily at f(c)?

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3yes... for example... dw:1361168628388:dw here, the limit of f(x) as x approaches c is a.... NOT f(c)

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0OHHH so then in that case it would be dicontinuous? When can you tell, or what can you do, to know that something is continuous, but algebraically? step by step and explain?

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3yes... but in your original function, it is continuous at all x values except at x=6. so in your problem, the limit of f as x approaches c for any value OTHER THAN 6, will be f(c)

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0oh! so then if x=6 was not an asymptote, but a hole, the limit would be equivalent to f(c)??

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3***IF*** the function was CONTINUOUS at x=6, then the limit would be f(6)

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3seems like we're going in circles here but we're not... Continuity of a funtion is defined in terms of limits....

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.3if the "hole" you're referring to is a REMOVABLE discontinuity, then yes, the limit would be f(6) or as you said, f(c)...

lucy4104
 2 years ago
Best ResponseYou've already chosen the best response.0yes!!!! ok, thank you!
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.