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 in Two variables.

  1. Oct 8, 2013 #1
    1. The problem statement, all variables and given/known data

    lim (x,y)[itex]\rightarrow[/itex](0,0) f(x,y)=2*x/(x[itex]^{2}[/itex] + x +y[itex]^{2}[/itex])

    2. Relevant equations

    used different paths like y=k*x ,where k is a constant and y=k*x^2

    3. The attempt at a solution
    Got an answer 2 but solution says does not exist. Can anybody convince me that why limit does not exist,without using polar form.

    I am currently studying in 1st year of college.
     
  2. jcsd
  3. Oct 8, 2013 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    The problem with the paths you chose is that there is one direction you are unable to represent with a finite k. What direction do you think that would be?
     
  4. Oct 11, 2013 #3
    oh got it thanks man. its the y axis!! The limit comes out to be zero if i put x=1. Thanks!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Limit in Two variables.
  1. Two variable limit (Replies: 5)

Loading...