A community for students. Sign up today!
Here's the question you clicked on:
← 55 members online
 0 viewing
zhiyuan3yu5
 2 years ago
find limit of ysin(1/(x^4+y^4)) as (x,y)>(0,0)
zhiyuan3yu5
 2 years ago
find limit of ysin(1/(x^4+y^4)) as (x,y)>(0,0)

This Question is Closed

WhiiteRussian
 2 years ago
Best ResponseYou've already chosen the best response.0It would just be 0

WhiiteRussian
 2 years ago
Best ResponseYou've already chosen the best response.0Using L'hopitals rule

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.1note that\[\sin(\frac{1}{x^4+y^4})\]is a limited function between 1 and 1 whatever x,y are so we have a limited function multiplying zero (because y>0) and\[\lim_{(x,y) \rightarrow(0,0)} y \ \sin(\frac{1}{x^4+y^4})=\lim_{y \rightarrow 0} \times\lim_{(x,y) \rightarrow(0,0)} \sin(\frac{1}{x^4+y^4})=0\times \text{limited}=0\]make sense???
Ask your own question
Ask a QuestionFind 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.