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!

Defining a function at (0,0)

  1. Sep 30, 2015 #1
    1. The problem statement, all variables and given/known data
    Can (a), and (b) be made continuous by suitably defining them at (0, 0)? I'm not sure if I answered it properly; especially part (b). Please help.

    (a) [x^2+y^2sin(x)]/[x+y]

    (b) [x^2ycos(z)]/(x^3+y^2+z^2)

    2. Relevant equations

    Taking the limit from different direction

    3. The attempt at a solution
    MAT2122 HW1 - Page 10.jpg
  2. jcsd
  3. Sep 30, 2015 #2


    User Avatar
    Homework Helper

    For a) set x = 0 and approach zero in the y direction. does the limit exist?
    For b) assume they mean the origin, so (0,0,0).
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: Defining a function at (0,0)
  1. Bessel function p=0 (Replies: 2)