1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Limits of multivariable functions

  1. May 2, 2014 #1
    1. The problem statement, all variables and given/known data

    The limit as x,y → 0


    2. Relevant equations

    3. The attempt at a solution

    There are pretty straight forward but I have a general question about them. So say in the function above I let y=x and let x approach 0.

    I get 0/0 - inconclusive. Can I fall back on single variable calculus and use L'Hospital's rule to find the limit? For some reason my gut tells me no.
  2. jcsd
  3. May 2, 2014 #2


    User Avatar
    Homework Helper

    If you approach along a straight line, you would need to use L'Hospital's rule to find the limit. What happens if you approach along a parabola? Compare that to approaching along a straight line. What can you conclude?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted