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Limit of function

  1. Sep 21, 2016 #1
    1. The problem statement, all variables and given/known data
    Is it true that e find that the function is undefined and we can't simplify them, then the limit of multivariable function is surely doesn't exist

    http://imgur.com/a/cihXu

    2. Relevant equations


    3. The attempt at a solution
    Is it possible that we already try many different of y = x^n , n is all real number , the limit still the same ? ( the limit of function actually not exist , but in our working we have tried many different of y = x^n , n is all real number , we keep on getting the limit of the graph still the same ) ?
     

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  2. jcsd
  3. Sep 21, 2016 #2

    BvU

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    HI,
    What is it you are asking ? Limits of ##f(x,y)## are a different matter than limits of ##y = f(x) ## !
     
  4. Sep 21, 2016 #3
    yes
    yes , i am asking a limit of f(x,y)
     
  5. Sep 21, 2016 #4

    BvU

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    So why write ##y=x^n## ?
     
  6. Sep 21, 2016 #5
    in 3rd attempt , the author want us to try substuiting different value of curves / lines into the function... so i use y = x^n
     
  7. Sep 21, 2016 #6

    BvU

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    Did you forget to tell us what function it is you are investigating ? And what limit at what point (a,b) ?
     
  8. Sep 21, 2016 #7
    I am asking generally, the function could be any function of x and h, and the limit could be anything.....
     
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