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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

    RUber

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    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).
     
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