A community for students.
Here's the question you clicked on:
 0 viewing
kaylalynn
 2 years ago
show using limits that f(x)=tan(x) is continuous at x=0
kaylalynn
 2 years ago
show using limits that f(x)=tan(x) is continuous at x=0

This Question is Closed

apple_pi
 2 years ago
Best ResponseYou've already chosen the best response.1for any f(x) to be continuous at x=a, lim x>a f(x) = f(x) = lim x>a+ f(x) what this means is, the function value at x=a must be approached from both the left and right.

apple_pi
 2 years ago
Best ResponseYou've already chosen the best response.1So in your case of f(x) = tan(x) at x = 0, Now using what we discussed earlier, lim x>0 tan(x) = 0 since there is no problem plugging it straight in tan(0) = 0 lim x>0+ tan(x) = 0 again, plugging it straight in. Now since all three parts are equal, the function is therefore continuous at x = 0.
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.