Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
johnny101
Group Title
Calc, help! How do I determine at what points y=x+2/cos x is continuous?
 one year ago
 one year ago
johnny101 Group Title
Calc, help! How do I determine at what points y=x+2/cos x is continuous?
 one year ago
 one year ago

This Question is Closed

Decart Group TitleBest ResponseYou've already chosen the best response.0
where the function is defined
 one year ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.1
what's the def of continuous?
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
not at asymptote
 one year ago

johnny101 Group TitleBest ResponseYou've already chosen the best response.0
its not defined in text so yeah im assuming
 one year ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.1
Definition in terms of limits of functions The function f is continuous at some point c of its domain if the limit of f(x) as x approaches c through the domain of f exists and is equal to f(c).[2] In mathematical notation, this is written as \[ \lim_{x \to c}{f(x)} = f(c).\] In detail this means three conditions: first, f has to be defined at c. Second, the limit on the left hand side of that equation has to exist. Third, the value of this limit must equal f(c).
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
as x approaches what value is the function undefined
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
take the derivative
 one year ago

johnny101 Group TitleBest ResponseYou've already chosen the best response.0
can you walk me through that step by step if possible? I missed the lecture and am somewhat lost
 one year ago

Decart Group TitleBest ResponseYou've already chosen the best response.0
you need to use the quotient rule and the derivative of cos is sin
 one year ago

johnny101 Group TitleBest ResponseYou've already chosen the best response.0
f(x)/g(x)=l/m?
 one year ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.1
the function is not defined when \[x=\frac{ \pi }{ 2 }+k\pi\text{, where }k \in \mathbb{Z}\]
 one year ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.1
because cos x will be 0 at those values of x and the function will not be deifned there. thus, the function will be discontinuous at those points
 one year ago

johnny101 Group TitleBest ResponseYou've already chosen the best response.0
so what you have above pi/2+ k(pi), how did you determine points off that?
 one year ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.1
y = x is continuous for all real x. y = 2/x is continuous for all real x where x is not 0. 1 <= cos x <= 1 for all real x. thus, so long as cos x not = 0, your function will be continuous.
 one year ago

johnny101 Group TitleBest ResponseYou've already chosen the best response.0
ohhhhh. Ok I got it now. Thank you!
 one year ago
See more questions >>>
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.