1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Limit and Continuity

  1. Sep 27, 2012 #1
    1. The problem statement, all variables and given/known data
    lim of (y^2)(sin^2x) /(x^4+y^4) as (x,y) approaches (0,0)

    2. Relevant equations

    3. The attempt at a solution

    I got the limit as (x,y) approaches (0,y) and as (x,y) approaches (x,0), and it equals 0. But now I'm unsure of what to to next. I think it was the limit as (x,y) approaches (x,x) when x=y, but i get sin^2x / 2x^2
  2. jcsd
  3. Sep 27, 2012 #2
    [tex]\lim_{x\to 0}\frac{\sin^2x}{2x^2}=\frac{1}{2}\lim_{x\to 0}\left(\frac{\sin x}{x}\right)^2=\frac{1}{2}[/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Limit and Continuity
  1. Limits and Continuity (Replies: 1)

  2. Limit and continuity (Replies: 15)

  3. Continuity and Limits (Replies: 10)

  4. Limits and continuity (Replies: 8)

  5. Limits and Continuity (Replies: 6)